27979120 has 40 divisors (see below), whose sum is σ = 70058016. Its totient is φ = 10330368.

The previous prime is 27979079. The next prime is 27979123. The reversal of 27979120 is 2197972.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27979120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27979123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12412 + ... + 14491.

Almost surely, 2^27979120 is an apocalyptic number.

27979120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27979120 is an abundant number, since it is smaller than the sum of its proper divisors (42078896).

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

27979120 is a wasteful number, since it uses less digits than its factorization.

27979120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26929 (or 26923 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 27979120 is about 5289.5292796240. The cubic root of 27979120 is about 303.5833974915.

The spelling of 27979120 in words is "twenty-seven million, nine hundred seventy-nine thousand, one hundred twenty".