27331920 has 480 divisors, whose sum is σ = 125349120. Its totient is φ = 5160960.

The previous prime is 27331907. The next prime is 27331939. The reversal of 27331920 is 2913372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942466 + ... + 942494.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 2^27331920 is an apocalyptic number.

27331920 is a gapful number since it is divisible by the number (20) 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 27331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

27331920 is an abundant number, since it is smaller than the sum of its proper divisors (98017200).

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

27331920 is a wasteful number, since it uses less digits than its factorization.

27331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 27331920 is about 5227.9938791089. The cubic root of 27331920 is about 301.2243299236.

The spelling of 27331920 in words is "twenty-seven million, three hundred thirty-one thousand, nine hundred twenty".