56139264 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 17971200.

The previous prime is 56139257. The next prime is 56139269. The reversal of 56139264 is 46293165.

It is a happy number.

56139264 is a `hidden beast` number, since 561 + 3 + 92 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 (56139269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428479 + ... + 428609.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^56139264 is an apocalyptic number.

56139264 is a gapful number since it is divisible by the number (54) 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 56139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

56139264 is an abundant number, since it is smaller than the sum of its proper divisors (116706816).

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

56139264 is a wasteful number, since it uses less digits than its factorization.

56139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

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

The square root of 56139264 is about 7492.6139630973. The cubic root of 56139264 is about 382.9031197901.

The spelling of 56139264 in words is "fifty-six million, one hundred thirty-nine thousand, two hundred sixty-four".