83320384 has 63 divisors (see below), whose sum is σ = 193520187. Its totient is φ = 35489664.

The previous prime is 83320357. The next prime is 83320387. The reversal of 83320384 is 48302338.

The square root of 83320384 is 9128.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (83320387) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 511087 + ... + 511249.

It is an arithmetic number, because the mean of its divisors is an integer number (3071749).

Almost surely, 2^83320384 is an apocalyptic number.

83320384 is the 9128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83320384

83320384 is an abundant number, since it is smaller than the sum of its proper divisors (110199803).

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

83320384 is an equidigital number, since it uses as much as digits as its factorization.

83320384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The cubic root of 83320384 is about 436.7676066269.

The spelling of 83320384 in words is "eighty-three million, three hundred twenty thousand, three hundred eighty-four".