256767864 has 128 divisors (see below), whose sum is σ = 710648640. Its totient is φ = 76972032.

The previous prime is 256767857. The next prime is 256767899. The reversal of 256767864 is 468767652.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101892 + ... + 1102124.

Almost surely, 2^256767864 is an apocalyptic number.

256767864 is a gapful number since it is divisible by the number (24) 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 256767864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355324320).

256767864 is an abundant number, since it is smaller than the sum of its proper divisors (453880776).

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

256767864 is a wasteful number, since it uses less digits than its factorization.

256767864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 256767864 is about 16023.9777833096. The cubic root of 256767864 is about 635.5946350872.

The spelling of 256767864 in words is "two hundred fifty-six million, seven hundred sixty-seven thousand, eight hundred sixty-four".