84164032 has 56 divisors (see below), whose sum is σ = 174558960. Its totient is φ = 40212480.

The previous prime is 84164009. The next prime is 84164099. The reversal of 84164032 is 23046148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254107 + ... + 254437.

Almost surely, 2^84164032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87279480).

84164032 is an abundant number, since it is smaller than the sum of its proper divisors (90394928).

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

84164032 is a wasteful number, since it uses less digits than its factorization.

84164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 84164032 is about 9174.0957047548. The cubic root of 84164032 is about 438.2368005685.

The spelling of 84164032 in words is "eighty-four million, one hundred sixty-four thousand, thirty-two".