27625536 has 105 divisors (see below), whose sum is σ = 83027901. Its totient is φ = 9082368.

The previous prime is 27625531. The next prime is 27625537. The reversal of 27625536 is 63552672.

It is a happy number.

The square root of 27625536 is 5256.

It is a perfect power (a square), and thus also a powerful number.

27625536 is a `hidden beast` number, since 27 + 625 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 11943936 = 3960^2 + 3456^2 .

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 27625536.

It is not an unprimeable number, because it can be changed into a prime (27625531) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 378396 + ... + 378468.

Almost surely, 2^27625536 is an apocalyptic number.

27625536 is the 5256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27625536

27625536 is an abundant number, since it is smaller than the sum of its proper divisors (55402365).

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

27625536 is an frugal number, since it uses more digits than its factorization.

27625536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 78 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The cubic root of 27625536 is about 302.2991349166.

Multiplying 27625536 by its sum of digits (36), we get a square (994519296 = 31536²).

27625536 divided by its sum of digits (36) gives a square (767376 = 876²).

The spelling of 27625536 in words is "twenty-seven million, six hundred twenty-five thousand, five hundred thirty-six".