27082920 has 64 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 7186688.

The previous prime is 27082901. The next prime is 27082949. The reversal of 27082920 is 2928072.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 31861 + ... + 32699.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 2^27082920 is an apocalyptic number.

27082920 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 27082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

27082920 is an abundant number, since it is smaller than the sum of its proper divisors (54565080).

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

27082920 is a wasteful number, since it uses less digits than its factorization.

27082920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 27082920 is about 5204.1252867317. The cubic root of 27082920 is about 300.3067972556.

The spelling of 27082920 in words is "twenty-seven million, eighty-two thousand, nine hundred twenty".