1610624256 has 144 divisors (see below), whose sum is σ = 4404934464. Its totient is φ = 522289152.

The previous prime is 1610624233. The next prime is 1610624263. The reversal of 1610624256 is 6524260161.

It is a super-2 number, since 2×1610624256² = 5188220988031107072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5814390 + ... + 5814666.

Almost surely, 2^1610624256 is an apocalyptic number.

1610624256 is a gapful number since it is divisible by the number (16) 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 1610624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202467232).

1610624256 is an abundant number, since it is smaller than the sum of its proper divisors (2794310208).

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

1610624256 is a wasteful number, since it uses less digits than its factorization.

1610624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1610624256 is about 40132.5834702926. The cubic root of 1610624256 is about 1172.1901790805.

The spelling of 1610624256 in words is "one billion, six hundred ten million, six hundred twenty-four thousand, two hundred fifty-six".