27666720 has 72 divisors (see below), whose sum is σ = 94417596. Its totient is φ = 7377408.

The previous prime is 27666671. The next prime is 27666721. The reversal of 27666720 is 2766672.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 1411344 = 5124^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (27666721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8167 + ... + 11046.

Almost surely, 2^27666720 is an apocalyptic number.

27666720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27666720 is an abundant number, since it is smaller than the sum of its proper divisors (66750876).

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

27666720 is a wasteful number, since it uses less digits than its factorization.

27666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19234 (or 19223 counting only the distinct ones).

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

The square root of 27666720 is about 5259.9163491447. The cubic root of 27666720 is about 302.4492823014.

The spelling of 27666720 in words is "twenty-seven million, six hundred sixty-six thousand, seven hundred twenty".