83337968 has 40 divisors (see below), whose sum is σ = 187080288. Its totient is φ = 35223552.

The previous prime is 83337959. The next prime is 83337977. The reversal of 83337968 is 86973338.

It is an interprime number because it is at equal distance from previous prime (83337959) and next prime (83337977).

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, 3080 + ... + 13272.

Almost surely, 2^83337968 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 83337968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93540144).

83337968 is an abundant number, since it is smaller than the sum of its proper divisors (103742320).

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

83337968 is a wasteful number, since it uses less digits than its factorization.

83337968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10281 (or 10275 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 83337968 is about 9128.9631393713. The cubic root of 83337968 is about 436.7983297266.

The spelling of 83337968 in words is "eighty-three million, three hundred thirty-seven thousand, nine hundred sixty-eight".