83124264 has 16 divisors (see below), whose sum is σ = 207810720. Its totient is φ = 27708080.

The previous prime is 83124263. The next prime is 83124329. The reversal of 83124264 is 46242138.

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 (83124263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1731732 + ... + 1731779.

It is an arithmetic number, because the mean of its divisors is an integer number (12988170).

Almost surely, 2^83124264 is an apocalyptic number.

It is an amenable number.

83124264 is an abundant number, since it is smaller than the sum of its proper divisors (124686456).

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

83124264 is a wasteful number, since it uses less digits than its factorization.

83124264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463520 (or 3463516 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 83124264 is about 9117.2509014505. The cubic root of 83124264 is about 436.4246486974.

The spelling of 83124264 in words is "eighty-three million, one hundred twenty-four thousand, two hundred sixty-four".