256612860 has 288 divisors, whose sum is σ = 973539840. Its totient is φ = 55427328.

The previous prime is 256612781. The next prime is 256612897. The reversal of 256612860 is 68216652.

256612860 is a `hidden beast` number, since 2 + 566 + 12 + 86 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 646182 + ... + 646578.

Almost surely, 2^256612860 is an apocalyptic number.

256612860 is a gapful number since it is divisible by the number (20) 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 256612860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486769920).

256612860 is an abundant number, since it is smaller than the sum of its proper divisors (716926980).

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

256612860 is a wasteful number, since it uses less digits than its factorization.

256612860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 256612860 is about 16019.1404263774. The cubic root of 256612860 is about 635.4667120928.

The spelling of 256612860 in words is "two hundred fifty-six million, six hundred twelve thousand, eight hundred sixty".