83920560 has 120 divisors (see below), whose sum is σ = 272367984. Its totient is φ = 21373440.

The previous prime is 83920559. The next prime is 83920579. The reversal of 83920560 is 6502938.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126630 + ... + 127290.

Almost surely, 2^83920560 is an apocalyptic number.

83920560 is a gapful number since it is divisible by the number (80) 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 83920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136183992).

83920560 is an abundant number, since it is smaller than the sum of its proper divisors (188447424).

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

83920560 is a wasteful number, since it uses less digits than its factorization.

83920560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 83920560 is about 9160.8165574909. The cubic root of 83920560 is about 437.8138113172.

The spelling of 83920560 in words is "eighty-three million, nine hundred twenty thousand, five hundred sixty".