27980064 has 72 divisors (see below), whose sum is σ = 90941760. Its totient is φ = 7993728.

The previous prime is 27980063. The next prime is 27980083. The reversal of 27980064 is 46008972.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (27980063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4924 + ... + 8955.

It is an arithmetic number, because the mean of its divisors is an integer number (1263080).

Almost surely, 2^27980064 is an apocalyptic number.

27980064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27980064 is an abundant number, since it is smaller than the sum of its proper divisors (62961696).

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

27980064 is a wasteful number, since it uses less digits than its factorization.

27980064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13902 (or 13891 counting only the distinct ones).

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

The square root of 27980064 is about 5289.6185117643. The cubic root of 27980064 is about 303.5868116983.

The spelling of 27980064 in words is "twenty-seven million, nine hundred eighty thousand, sixty-four".