83704320 has 320 divisors, whose sum is σ = 341763840. Its totient is φ = 19021824.

The previous prime is 83704319. The next prime is 83704343. The reversal of 83704320 is 2340738.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483754 + ... + 483926.

It is an arithmetic number, because the mean of its divisors is an integer number (1068012).

Almost surely, 2^83704320 is an apocalyptic number.

83704320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881920).

83704320 is an abundant number, since it is smaller than the sum of its proper divisors (258059520).

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

83704320 is a wasteful number, since it uses less digits than its factorization.

83704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 83704320 is about 9149.0065034407. The cubic root of 83704320 is about 437.4374462946.

The spelling of 83704320 in words is "eighty-three million, seven hundred four thousand, three hundred twenty".