27530640 has 60 divisors (see below), whose sum is σ = 92459484. Its totient is φ = 7341312.

The previous prime is 27530617. The next prime is 27530641. The reversal of 27530640 is 4603572.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 15586704 = 3456^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×27530640² = 1515872277619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27530641) 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, 18399 + ... + 19838.

Almost surely, 2^27530640 is an apocalyptic number.

27530640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27530640 is an abundant number, since it is smaller than the sum of its proper divisors (64928844).

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

27530640 is a wasteful number, since it uses less digits than its factorization.

27530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38256 (or 38247 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 27530640 is about 5246.9648369319. The cubic root of 27530640 is about 301.9525969778.

The spelling of 27530640 in words is "twenty-seven million, five hundred thirty thousand, six hundred forty".