27959120 has 40 divisors (see below), whose sum is σ = 74292864. Its totient is φ = 9585792.

The previous prime is 27959119. The next prime is 27959137. The reversal of 27959120 is 2195972.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24404 + ... + 25523.

Almost surely, 2^27959120 is an apocalyptic number.

27959120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27959120 is an abundant number, since it is smaller than the sum of its proper divisors (46333744).

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

27959120 is a wasteful number, since it uses less digits than its factorization.

27959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49947 (or 49941 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 27959120 is about 5287.6384142640. The cubic root of 27959120 is about 303.5110445460.

The spelling of 27959120 in words is "twenty-seven million, nine hundred fifty-nine thousand, one hundred twenty".