27959904 has 240 divisors, whose sum is σ = 99525888. Its totient is φ = 7527168.

The previous prime is 27959903. The next prime is 27959941. The reversal of 27959904 is 40995972.

It is a self number, because there is not a number n which added to its sum of digits gives 27959904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27959903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417279 + ... + 417345.

Almost surely, 2^27959904 is an apocalyptic number.

27959904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762944).

27959904 is an abundant number, since it is smaller than the sum of its proper divisors (71565984).

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

27959904 is a wasteful number, since it uses less digits than its factorization.

27959904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 27959904 is about 5287.7125489194. The cubic root of 27959904 is about 303.5138814311.

The spelling of 27959904 in words is "twenty-seven million, nine hundred fifty-nine thousand, nine hundred four".