256630680 has 160 divisors (see below), whose sum is σ = 872071200. Its totient is φ = 67682304.

The previous prime is 256630613. The next prime is 256630681. The reversal of 256630680 is 86036652.

256630680 is a `hidden beast` number, since 2 + 566 + 30 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256630681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333336 + ... + 334104.

It is an arithmetic number, because the mean of its divisors is an integer number (5450445).

Almost surely, 2^256630680 is an apocalyptic number.

256630680 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 256630680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436035600).

256630680 is an abundant number, since it is smaller than the sum of its proper divisors (615440520).

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

256630680 is a wasteful number, since it uses less digits than its factorization.

256630680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 256630680 is about 16019.6966263410. The cubic root of 256630680 is about 635.4814213514.

The spelling of 256630680 in words is "two hundred fifty-six million, six hundred thirty thousand, six hundred eighty".