83617968 has 80 divisors (see below), whose sum is σ = 261411840. Its totient is φ = 22483968.

The previous prime is 83617931. The next prime is 83617973. The reversal of 83617968 is 86971638.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (3267648).

Almost surely, 2^83617968 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 83617968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130705920).

83617968 is an abundant number, since it is smaller than the sum of its proper divisors (177793872).

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

83617968 is a wasteful number, since it uses less digits than its factorization.

83617968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14668 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 83617968 is about 9144.2860847635. The cubic root of 83617968 is about 437.2869698107.

The spelling of 83617968 in words is "eighty-three million, six hundred seventeen thousand, nine hundred sixty-eight".