83688864 has 72 divisors (see below), whose sum is σ = 255564288. Its totient is φ = 23909760.

The previous prime is 83688851. The next prime is 83688883. The reversal of 83688864 is 46888638.

It is a super-2 number, since 2×83688864² = 14007651915220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4192 + ... + 13599.

It is an arithmetic number, because the mean of its divisors is an integer number (3549504).

Almost surely, 2^83688864 is an apocalyptic number.

83688864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83688864 is an abundant number, since it is smaller than the sum of its proper divisors (171875424).

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

83688864 is a wasteful number, since it uses less digits than its factorization.

83688864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17818 (or 17803 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 83688864 is about 9148.1617825659. The cubic root of 83688864 is about 437.4105203671.

The spelling of 83688864 in words is "eighty-three million, six hundred eighty-eight thousand, eight hundred sixty-four".