1064172720 has 120 divisors (see below), whose sum is σ = 3572356176. Its totient is φ = 261940224.

The previous prime is 1064172713. The next prime is 1064172737. The reversal of 1064172720 is 272714601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1064172720² = 2264927155984396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27442 + ... + 53678.

Almost surely, 2^1064172720 is an apocalyptic number.

1064172720 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 1064172720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786178088).

1064172720 is an abundant number, since it is smaller than the sum of its proper divisors (2508183456).

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

1064172720 is a wasteful number, since it uses less digits than its factorization.

1064172720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26279 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1064172720 is about 32621.6602888326. The cubic root of 1064172720 is about 1020.9489822534.

The spelling of 1064172720 in words is "one billion, sixty-four million, one hundred seventy-two thousand, seven hundred twenty".