27131664 has 40 divisors (see below), whose sum is σ = 80104000. Its totient is φ = 7751808.

The previous prime is 27131653. The next prime is 27131683. The reversal of 27131664 is 46613172.

It is a super-2 number, since 2×27131664² = 1472254382817792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40039 + ... + 40710.

It is an arithmetic number, because the mean of its divisors is an integer number (2002600).

Almost surely, 2^27131664 is an apocalyptic number.

27131664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27131664 is an abundant number, since it is smaller than the sum of its proper divisors (52972336).

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

27131664 is a wasteful number, since it uses less digits than its factorization.

27131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80767 (or 80761 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 27131664 is about 5208.8063891836. The cubic root of 27131664 is about 300.4868539279.

The spelling of 27131664 in words is "twenty-seven million, one hundred thirty-one thousand, six hundred sixty-four".