83717664 has 48 divisors (see below), whose sum is σ = 227344320. Its totient is φ = 26942720.

The previous prime is 83717663. The next prime is 83717713. The reversal of 83717664 is 46671738.

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

It is not an unprimeable number, because it can be changed into a prime (83717663) 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, 12252 + ... + 17819.

It is an arithmetic number, because the mean of its divisors is an integer number (4736340).

Almost surely, 2^83717664 is an apocalyptic number.

It is an amenable number.

83717664 is an abundant number, since it is smaller than the sum of its proper divisors (143626656).

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

83717664 is a wasteful number, since it uses less digits than its factorization.

83717664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30113 (or 30105 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 83717664 is about 9149.7357338887. The cubic root of 83717664 is about 437.4606902368.

The spelling of 83717664 in words is "eighty-three million, seven hundred seventeen thousand, six hundred sixty-four".