84431360 has 160 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 29933568.

The previous prime is 84431353. The next prime is 84431371. The reversal of 84431360 is 6313448.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431011 + ... + 1431069.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^84431360 is an apocalyptic number.

84431360 is a gapful number since it is divisible by the number (80) 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 84431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

84431360 is an abundant number, since it is smaller than the sum of its proper divisors (142429120).

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

84431360 is a wasteful number, since it uses less digits than its factorization.

84431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 84431360 is about 9188.6538731198. The cubic root of 84431360 is about 438.7002968564.

The spelling of 84431360 in words is "eighty-four million, four hundred thirty-one thousand, three hundred sixty".