84520032 has 96 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 26611200.

The previous prime is 84520027. The next prime is 84520061. The reversal of 84520032 is 23002548.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 84519984 and 84520011.

It is a congruent number.

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, 222819 + ... + 223197.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^84520032 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 84520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

84520032 is an abundant number, since it is smaller than the sum of its proper divisors (149900448).

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

84520032 is a wasteful number, since it uses less digits than its factorization.

84520032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 84520032 is about 9193.4776880134. The cubic root of 84520032 is about 438.8538212600.

The spelling of 84520032 in words is "eighty-four million, five hundred twenty thousand, thirty-two".