83862432 has 96 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 26982144.

The previous prime is 83862413. The next prime is 83862433. The reversal of 83862432 is 23426838.

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 (36).

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 (83862433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23383 + ... + 26729.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^83862432 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 83862432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

83862432 is an abundant number, since it is smaller than the sum of its proper divisors (169246368).

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

83862432 is a wasteful number, since it uses less digits than its factorization.

83862432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3381 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83862432 is about 9157.6433649711. The cubic root of 83862432 is about 437.7127033196.

The spelling of 83862432 in words is "eighty-three million, eight hundred sixty-two thousand, four hundred thirty-two".