83601864 has 24 divisors (see below), whose sum is σ = 226421910. Its totient is φ = 27867264.

The previous prime is 83601857. The next prime is 83601871. The reversal of 83601864 is 46810638.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83601857) and next prime (83601871).

It can be written as a sum of positive squares in only one way, i.e., 68062500 + 15539364 = 8250^2 + 3942^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 580497 + ... + 580640.

Almost surely, 2^83601864 is an apocalyptic number.

It is an amenable number.

83601864 is an abundant number, since it is smaller than the sum of its proper divisors (142820046).

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

83601864 is a wasteful number, since it uses less digits than its factorization.

83601864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161149 (or 1161142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83601864 is about 9143.4054924847. The cubic root of 83601864 is about 437.2588956154.

The spelling of 83601864 in words is "eighty-three million, six hundred one thousand, eight hundred sixty-four".