83604864 has 128 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 22616064.

The previous prime is 83604847. The next prime is 83604881. The reversal of 83604864 is 46840638.

It is an interprime number because it is at equal distance from previous prime (83604847) and next prime (83604881).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 50254 + ... + 51890.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^83604864 is an apocalyptic number.

83604864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

83604864 is an abundant number, since it is smaller than the sum of its proper divisors (183716736).

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

83604864 is a wasteful number, since it uses less digits than its factorization.

83604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 83604864 is about 9143.5695436738. The cubic root of 83604864 is about 437.2641258058.

The spelling of 83604864 in words is "eighty-three million, six hundred four thousand, eight hundred sixty-four".