27079920 has 240 divisors, whose sum is σ = 108326400. Its totient is φ = 6158592.

The previous prime is 27079919. The next prime is 27079933. The reversal of 27079920 is 2997072.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135981 + ... + 136179.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 2^27079920 is an apocalyptic number.

27079920 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 27079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

27079920 is an abundant number, since it is smaller than the sum of its proper divisors (81246480).

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

27079920 is a wasteful number, since it uses less digits than its factorization.

27079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 27079920 is about 5203.8370458730. The cubic root of 27079920 is about 300.2957084260.

The spelling of 27079920 in words is "twenty-seven million, seventy-nine thousand, nine hundred twenty".