256616136 has 96 divisors (see below), whose sum is σ = 810576000. Its totient is φ = 73311840.

The previous prime is 256616117. The next prime is 256616137. The reversal of 256616136 is 631616652.

256616136 is a `hidden beast` number, since 2 + 5 + 6 + 616 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 256616136.

It is not an unprimeable number, because it can be changed into a prime (256616137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19501 + ... + 29891.

It is an arithmetic number, because the mean of its divisors is an integer number (8443500).

Almost surely, 2^256616136 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 256616136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405288000).

256616136 is an abundant number, since it is smaller than the sum of its proper divisors (553959864).

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

256616136 is a wasteful number, since it uses less digits than its factorization.

256616136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424 (or 10403 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 256616136 is about 16019.2426787286. The cubic root of 256616136 is about 635.4694162702.

The spelling of 256616136 in words is "two hundred fifty-six million, six hundred sixteen thousand, one hundred thirty-six".