256667712 has 112 divisors (see below), whose sum is σ = 779751552. Its totient is φ = 72990720.

The previous prime is 256667701. The next prime is 256667729. The reversal of 256667712 is 217766652.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474162 + ... + 474702.

Almost surely, 2^256667712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389875776).

256667712 is an abundant number, since it is smaller than the sum of its proper divisors (523083840).

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

256667712 is a wasteful number, since it uses less digits than its factorization.

256667712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 256667712 is about 16020.8524117788. The cubic root of 256667712 is about 635.5119866968.

The spelling of 256667712 in words is "two hundred fifty-six million, six hundred sixty-seven thousand, seven hundred twelve".