27331840 has 72 divisors (see below), whose sum is σ = 66372768. Its totient is φ = 10782720.

The previous prime is 27331819. The next prime is 27331841. The reversal of 27331840 is 4813372.

It is a junction number, because it is equal to n+sod(n) for n = 27331799 and 27331808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27331841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167599 + ... + 167761.

It is an arithmetic number, because the mean of its divisors is an integer number (921844).

Almost surely, 2^27331840 is an apocalyptic number.

27331840 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 27331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33186384).

27331840 is an abundant number, since it is smaller than the sum of its proper divisors (39040928).

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

27331840 is a wasteful number, since it uses less digits than its factorization.

27331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 27331840 is about 5227.9862279849. The cubic root of 27331840 is about 301.2240360307.

The spelling of 27331840 in words is "twenty-seven million, three hundred thirty-one thousand, eight hundred forty".