83200920 has 64 divisors (see below), whose sum is σ = 272298240. Its totient is φ = 20169600.

The previous prime is 83200879. The next prime is 83200969. The reversal of 83200920 is 2900238.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 30196 + ... + 32835.

It is an arithmetic number, because the mean of its divisors is an integer number (4254660).

Almost surely, 2^83200920 is an apocalyptic number.

It is an amenable number.

83200920 is an abundant number, since it is smaller than the sum of its proper divisors (189097320).

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

83200920 is a wasteful number, since it uses less digits than its factorization.

83200920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63056 (or 63052 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83200920 is about 9121.4538314898. The cubic root of 83200920 is about 436.5587623234.

The spelling of 83200920 in words is "eighty-three million, two hundred thousand, nine hundred twenty".