83120864 has 24 divisors (see below), whose sum is σ = 164196648. Its totient is φ = 41420160.

The previous prime is 83120831. The next prime is 83120867. The reversal of 83120864 is 46802138.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 83120864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83120867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5594 + ... + 14054.

It is an arithmetic number, because the mean of its divisors is an integer number (6841527).

Almost surely, 2^83120864 is an apocalyptic number.

It is an amenable number.

83120864 is a deficient number, since it is larger than the sum of its proper divisors (81075784).

83120864 is a wasteful number, since it uses less digits than its factorization.

83120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 83120864 is about 9117.0644398293. The cubic root of 83120864 is about 436.4186983127.

The spelling of 83120864 in words is "eighty-three million, one hundred twenty thousand, eight hundred sixty-four".