83520576 has 84 divisors (see below), whose sum is σ = 242419632. Its totient is φ = 27489024.

The previous prime is 83520571. The next prime is 83520587. The reversal of 83520576 is 67502538.

83520576 is a `hidden beast` number, since 83 + 5 + 2 + 0 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83520576.

It is not an unprimeable number, because it can be changed into a prime (83520571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46935 + ... + 48681.

It is an arithmetic number, because the mean of its divisors is an integer number (2885948).

Almost surely, 2^83520576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83520576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121209816).

83520576 is an abundant number, since it is smaller than the sum of its proper divisors (158899056).

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

83520576 is a wasteful number, since it uses less digits than its factorization.

83520576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 83520576 is about 9138.9592405262. The cubic root of 83520576 is about 437.1171307245.

The spelling of 83520576 in words is "eighty-three million, five hundred twenty thousand, five hundred seventy-six".