27311904 has 120 divisors (see below), whose sum is σ = 82602828. Its totient is φ = 8847360.

The previous prime is 27311903. The next prime is 27311917. The reversal of 27311904 is 40911372.

It can be written as a sum of positive squares in 2 ways, for example, as 27248400 + 63504 = 5220^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27311903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106144 + ... + 106400.

Almost surely, 2^27311904 is an apocalyptic number.

27311904 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 27311904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41301414).

27311904 is an abundant number, since it is smaller than the sum of its proper divisors (55290924).

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

27311904 is a wasteful number, since it uses less digits than its factorization.

27311904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 27311904 is about 5226.0792186878. The cubic root of 27311904 is about 301.1507800400.

The spelling of 27311904 in words is "twenty-seven million, three hundred eleven thousand, nine hundred four".