84552832 has 192 divisors, whose sum is σ = 227094840. Its totient is φ = 30965760.

The previous prime is 84552829. The next prime is 84552851. The reversal of 84552832 is 23825548.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 38638656 = 6776^2 + 6216^2 .

Its product of digits (76800) is a multiple of the sum of its prime divisors (100).

It is a junction number, because it is equal to n+sod(n) for n = 84552791 and 84552800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386082 + ... + 1386142.

Almost surely, 2^84552832 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 84552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113547420).

84552832 is an abundant number, since it is smaller than the sum of its proper divisors (142542008).

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

84552832 is a wasteful number, since it uses less digits than its factorization.

84552832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The square root of 84552832 is about 9195.2613883456. The cubic root of 84552832 is about 438.9105831241.

The spelling of 84552832 in words is "eighty-four million, five hundred fifty-two thousand, eight hundred thirty-two".