256612608 has 162 divisors, whose sum is σ = 861052374. Its totient is φ = 73285632.

The previous prime is 256612597. The next prime is 256612663. The reversal of 256612608 is 806216652.

It can be written as a sum of positive squares in only one way, i.e., 249387264 + 7225344 = 15792^2 + 2688^2 .

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 17 ways as a sum of consecutive naturals, for example, 111760 + ... + 114032.

Almost surely, 2^256612608 is an apocalyptic number.

256612608 is a gapful number since it is divisible by the number (28) 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 256612608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430526187).

256612608 is an abundant number, since it is smaller than the sum of its proper divisors (604439766).

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

256612608 is a wasteful number, since it uses less digits than its factorization.

256612608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2285 counting only the distinct ones).

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

The square root of 256612608 is about 16019.1325607849. The cubic root of 256612608 is about 635.4665040782.

The spelling of 256612608 in words is "two hundred fifty-six million, six hundred twelve thousand, six hundred eight".