83590368 has 48 divisors (see below), whose sum is σ = 220396176. Its totient is φ = 27740160.

The previous prime is 83590357. The next prime is 83590369. The reversal of 83590368 is 86309538.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83590369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21330 + ... + 24942.

It is an arithmetic number, because the mean of its divisors is an integer number (4591587).

Almost surely, 2^83590368 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 83590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110198088).

83590368 is an abundant number, since it is smaller than the sum of its proper divisors (136805808).

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

83590368 is a wasteful number, since it uses less digits than its factorization.

83590368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 83590368 is about 9142.7768210758. The cubic root of 83590368 is about 437.2388523674.

The spelling of 83590368 in words is "eighty-three million, five hundred ninety thousand, three hundred sixty-eight".