27129984 has 64 divisors (see below), whose sum is σ = 82367040. Its totient is φ = 7750656.

The previous prime is 27129983. The next prime is 27130007. The reversal of 27129984 is 48992172.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27129983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2359 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (1286985).

Almost surely, 2^27129984 is an apocalyptic number.

27129984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27129984 is an abundant number, since it is smaller than the sum of its proper divisors (55237056).

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

27129984 is a wasteful number, since it uses less digits than its factorization.

27129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10117 (or 10105 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 27129984 is about 5208.6451213343. The cubic root of 27129984 is about 300.4806517240.

The spelling of 27129984 in words is "twenty-seven million, one hundred twenty-nine thousand, nine hundred eighty-four".