83395968 has 64 divisors (see below), whose sum is σ = 226966320. Its totient is φ = 27115520.

The previous prime is 83395957. The next prime is 83395973. The reversal of 83395968 is 86959338.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 83395968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13096 + ... + 18392.

Almost surely, 2^83395968 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 83395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113483160).

83395968 is an abundant number, since it is smaller than the sum of its proper divisors (143570352).

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

83395968 is a wasteful number, since it uses less digits than its factorization.

83395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5343 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 83395968 is about 9132.1392893451. The cubic root of 83395968 is about 436.8996378049.

The spelling of 83395968 in words is "eighty-three million, three hundred ninety-five thousand, nine hundred sixty-eight".