27940320 has 72 divisors (see below), whose sum is σ = 95351256. Its totient is φ = 7450368.

The previous prime is 27940309. The next prime is 27940321. The reversal of 27940320 is 2304972.

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

It is a super-2 number, since 2×27940320² = 1561322963404800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27940321) 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, 8262 + ... + 11141.

It is an arithmetic number, because the mean of its divisors is an integer number (1324323).

Almost surely, 2^27940320 is an apocalyptic number.

27940320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27940320 is an abundant number, since it is smaller than the sum of its proper divisors (67410936).

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

27940320 is a wasteful number, since it uses less digits than its factorization.

27940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19424 (or 19413 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27940320 is about 5285.8603840813. The cubic root of 27940320 is about 303.4430013095.

The spelling of 27940320 in words is "twenty-seven million, nine hundred forty thousand, three hundred twenty".