1772160 has 128 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 430080.

The previous prime is 1772119. The next prime is 1772167. The reversal of 1772160 is 612771.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1772160.

It is not an unprimeable number, because it can be changed into a prime (1772167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24925 + ... + 24995.

It is an arithmetic number, because the mean of its divisors is an integer number (48195).

2^1772160 is an apocalyptic number.

1772160 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 1772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

1772160 is an abundant number, since it is smaller than the sum of its proper divisors (4396800).

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

1772160 is a wasteful number, since it uses less digits than its factorization.

1772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 1772160 is about 1331.2249997653. The cubic root of 1772160 is about 121.0136359652.

The spelling of 1772160 in words is "one million, seven hundred seventy-two thousand, one hundred sixty".