83888832 has 42 divisors (see below), whose sum is σ = 222292164. Its totient is φ = 27920640.

The previous prime is 83888773. The next prime is 83888837. The reversal of 83888832 is 23888838.

It is a super-2 number, since 2×83888832² = 14074672268648448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (83888837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126582 + ... + 127242.

Almost surely, 2^83888832 is an apocalyptic number.

It is an amenable number.

83888832 is an abundant number, since it is smaller than the sum of its proper divisors (138403332).

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

83888832 is an frugal number, since it uses more digits than its factorization.

83888832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 666 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 83888832 is about 9159.0846704242. The cubic root of 83888832 is about 437.7586293389.

Multiplying 83888832 by its sum of digits (48), we get a square (4026663936 = 63456²).

83888832 divided by its sum of digits (48) gives a square (1747684 = 1322²).

The spelling of 83888832 in words is "eighty-three million, eight hundred eighty-eight thousand, eight hundred thirty-two".