55638756 has 72 divisors (see below), whose sum is σ = 149942520. Its totient is φ = 17335296.

The previous prime is 55638731. The next prime is 55638757. The reversal of 55638756 is 65783655.

55638756 is a `hidden beast` number, since 5 + 5 + 638 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 22184100 = 5784^2 + 4710^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55638757) 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, 139950 + ... + 140346.

It is an arithmetic number, because the mean of its divisors is an integer number (2082535).

Almost surely, 2^55638756 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 55638756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74971260).

55638756 is an abundant number, since it is smaller than the sum of its proper divisors (94303764).

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

55638756 is a wasteful number, since it uses less digits than its factorization.

55638756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 648 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 55638756 is about 7459.1390924154. The cubic root of 55638756 is about 381.7618006421.

The spelling of 55638756 in words is "fifty-five million, six hundred thirty-eight thousand, seven hundred fifty-six".