27137664 has 48 divisors (see below), whose sum is σ = 78094770. Its totient is φ = 9045504.

The previous prime is 27137651. The next prime is 27137683. The reversal of 27137664 is 46673172.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 14400 = 5208^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10627 + ... + 12930.

Almost surely, 2^27137664 is an apocalyptic number.

27137664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27137664 is an abundant number, since it is smaller than the sum of its proper divisors (50957106).

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

27137664 is a wasteful number, since it uses less digits than its factorization.

27137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23577 (or 23562 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 27137664 is about 5209.3823050339. The cubic root of 27137664 is about 300.5090025662.

The spelling of 27137664 in words is "twenty-seven million, one hundred thirty-seven thousand, six hundred sixty-four".