83684832 has 96 divisors (see below), whose sum is σ = 273901824. Its totient is φ = 21734400.

The previous prime is 83684819. The next prime is 83684849. The reversal of 83684832 is 23848638.

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

It is a super-2 number, since 2×83684832² = 14006302213736448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 1732 + ... + 13052.

It is an arithmetic number, because the mean of its divisors is an integer number (2853144).

Almost surely, 2^83684832 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 83684832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136950912).

83684832 is an abundant number, since it is smaller than the sum of its proper divisors (190216992).

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

83684832 is a wasteful number, since it uses less digits than its factorization.

83684832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352 (or 11344 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 83684832 is about 9147.9414077704. The cubic root of 83684832 is about 437.4034956669.

The spelling of 83684832 in words is "eighty-three million, six hundred eighty-four thousand, eight hundred thirty-two".