1720164960 has 144 divisors (see below), whose sum is σ = 5944760640. Its totient is φ = 452874240.

The previous prime is 1720164959. The next prime is 1720164961. The reversal of 1720164960 is 694610271.

1720164960 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 1 + 649 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1720164959) and next prime (1720164961).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1720164960² = 5917934979223603200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720164961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106200 + ... + 121320.

It is an arithmetic number, because the mean of its divisors is an integer number (41283060).

Almost surely, 2^1720164960 is an apocalyptic number.

1720164960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1720164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972380320).

1720164960 is an abundant number, since it is smaller than the sum of its proper divisors (4224595680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1720164960 is a wasteful number, since it uses less digits than its factorization.

1720164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15221 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1720164960 is about 41474.8714283721. The cubic root of 1720164960 is about 1198.1835852518.

The spelling of 1720164960 in words is "one billion, seven hundred twenty million, one hundred sixty-four thousand, nine hundred sixty".