27213984 has 72 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 7774848.

The previous prime is 27213983. The next prime is 27213997. The reversal of 27213984 is 48931272.

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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27213983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4734 + ... + 8765.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^27213984 is an apocalyptic number.

27213984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27213984 is an abundant number, since it is smaller than the sum of its proper divisors (61238016).

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

27213984 is a wasteful number, since it uses less digits than its factorization.

27213984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522 (or 13511 counting only the distinct ones).

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

The square root of 27213984 is about 5216.7024066933. The cubic root of 27213984 is about 300.7904488064.

The spelling of 27213984 in words is "twenty-seven million, two hundred thirteen thousand, nine hundred eighty-four".