27064980 has 72 divisors (see below), whose sum is σ = 83675592. Its totient is φ = 7078656.

The previous prime is 27064967. The next prime is 27064991. The reversal of 27064980 is 8946072.

27064980 is a `hidden beast` number, since 2 + 7 + 0 + 649 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 26563716 = 708^2 + 5154^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8122 + ... + 10958.

It is an arithmetic number, because the mean of its divisors is an integer number (1162161).

Almost surely, 2^27064980 is an apocalyptic number.

27064980 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 27064980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41837796).

27064980 is an abundant number, since it is smaller than the sum of its proper divisors (56610612).

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

27064980 is a wasteful number, since it uses less digits than its factorization.

27064980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27064980 is about 5202.4013685989. The cubic root of 27064980 is about 300.2404738562.

The spelling of 27064980 in words is "twenty-seven million, sixty-four thousand, nine hundred eighty".