83620368 has 120 divisors (see below), whose sum is σ = 265399680. Its totient is φ = 24364800.

The previous prime is 83620357. The next prime is 83620391. The reversal of 83620368 is 86302638.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34393 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (2211664).

Almost surely, 2^83620368 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 83620368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699840).

83620368 is an abundant number, since it is smaller than the sum of its proper divisors (181779312).

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

83620368 is a wasteful number, since it uses less digits than its factorization.

83620368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 83620368 is about 9144.4173133120. The cubic root of 83620368 is about 437.2911534358.

The spelling of 83620368 in words is "eighty-three million, six hundred twenty thousand, three hundred sixty-eight".