27664960 has 28 divisors (see below), whose sum is σ = 65877948. Its totient is φ = 11065856.

The previous prime is 27664951. The next prime is 27664961. The reversal of 27664960 is 6946672.

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 21233664 = 2536^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27664961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42907 + ... + 43546.

Almost surely, 2^27664960 is an apocalyptic number.

27664960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27664960 is an abundant number, since it is smaller than the sum of its proper divisors (38212988).

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

27664960 is an equidigital number, since it uses as much as digits as its factorization.

27664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86470 (or 86460 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 27664960 is about 5259.7490434430. The cubic root of 27664960 is about 302.4428687954.

The spelling of 27664960 in words is "twenty-seven million, six hundred sixty-four thousand, nine hundred sixty".