83388864 has 56 divisors (see below), whose sum is σ = 237611920. Its totient is φ = 25657344.

The previous prime is 83388841. The next prime is 83388887. The reversal of 83388864 is 46888338.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83388841) and next prime (83388887).

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

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

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, 14209 + ... + 19200.

It is an arithmetic number, because the mean of its divisors is an integer number (4243070).

Almost surely, 2^83388864 is an apocalyptic number.

It is an amenable number.

83388864 is an abundant number, since it is smaller than the sum of its proper divisors (154223056).

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

83388864 is a wasteful number, since it uses less digits than its factorization.

83388864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33437 (or 33427 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 83388864 is about 9131.7503251020. The cubic root of 83388864 is about 436.8872318367.

The spelling of 83388864 in words is "eighty-three million, three hundred eighty-eight thousand, eight hundred sixty-four".