27425904 has 80 divisors (see below), whose sum is σ = 78090240. Its totient is φ = 8225280.

The previous prime is 27425897. The next prime is 27425927. The reversal of 27425904 is 40952472.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66852 + ... + 67260.

It is an arithmetic number, because the mean of its divisors is an integer number (976128).

Almost surely, 2^27425904 is an apocalyptic number.

27425904 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 27425904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39045120).

27425904 is an abundant number, since it is smaller than the sum of its proper divisors (50664336).

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

27425904 is a wasteful number, since it uses less digits than its factorization.

27425904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 27425904 is about 5236.9746991942. The cubic root of 27425904 is about 301.5691999496.

It can be divided in two parts, 2742 and 5904, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 27425904 in words is "twenty-seven million, four hundred twenty-five thousand, nine hundred four".