84488832 has 160 divisors (see below), whose sum is σ = 261033300. Its totient is φ = 27095040.

The previous prime is 84488819. The next prime is 84488849. The reversal of 84488832 is 23888448.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 876096 = 9144^2 + 936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300532 + ... + 300812.

Almost surely, 2^84488832 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 84488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130516650).

84488832 is an abundant number, since it is smaller than the sum of its proper divisors (176544468).

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

84488832 is a wasteful number, since it uses less digits than its factorization.

84488832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 84488832 is about 9191.7806762346. The cubic root of 84488832 is about 438.7998146376.

It can be divided in two parts, 844 and 88832, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 84488832 in words is "eighty-four million, four hundred eighty-eight thousand, eight hundred thirty-two".