256936680 has 768 divisors, whose sum is σ = 1207664640. Its totient is φ = 45619200.

The previous prime is 256936679. The next prime is 256936751. The reversal of 256936680 is 86639652.

It is a happy number.

256936680 is a `hidden beast` number, since 2 + 569 + 3 + 6 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8288265 + ... + 8288295.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^256936680 is an apocalyptic number.

256936680 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 256936680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

256936680 is an abundant number, since it is smaller than the sum of its proper divisors (950727960).

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

256936680 is a wasteful number, since it uses less digits than its factorization.

256936680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 256936680 is about 16029.2445236823. The cubic root of 256936680 is about 635.7338984096.

The spelling of 256936680 in words is "two hundred fifty-six million, nine hundred thirty-six thousand, six hundred eighty".