83014624 has 72 divisors (see below), whose sum is σ = 207444888. Its totient is φ = 32336640.

The previous prime is 83014609. The next prime is 83014669. The reversal of 83014624 is 42641038.

It is a super-2 number, since 2×83014624² = 13782855595722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 83014592 and 83014601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14842 + ... + 19654.

It is an arithmetic number, because the mean of its divisors is an integer number (2881179).

Almost surely, 2^83014624 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 83014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103722444).

83014624 is an abundant number, since it is smaller than the sum of its proper divisors (124430264).

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

83014624 is a wasteful number, since it uses less digits than its factorization.

83014624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 83014624 is about 9111.2361400635. The cubic root of 83014624 is about 436.2326844850.

It can be divided in two parts, 83014 and 624, that added together give a palindrome (83638).

The spelling of 83014624 in words is "eighty-three million, fourteen thousand, six hundred twenty-four".