27638625 has 32 divisors (see below), whose sum is σ = 52565760. Its totient is φ = 12633600.

The previous prime is 27638623. The next prime is 27638641. The reversal of 27638625 is 52683672.

It is not a de Polignac number, because 27638625 - 2¹ = 27638623 is a prime.

It is a super-3 number, since 3×27638625³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (27638623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2640 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (1642680).

Almost surely, 2^27638625 is an apocalyptic number.

27638625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27638625 is a deficient number, since it is larger than the sum of its proper divisors (24927135).

27638625 is a wasteful number, since it uses less digits than its factorization.

27638625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10554 (or 10544 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 27638625 is about 5257.2450009487. The cubic root of 27638625 is about 302.3468705652.

The spelling of 27638625 in words is "twenty-seven million, six hundred thirty-eight thousand, six hundred twenty-five".