83304576 has 48 divisors (see below), whose sum is σ = 239720910. Its totient is φ = 27767808.

The previous prime is 83304547. The next prime is 83304577. The reversal of 83304576 is 67540338.

It is a happy number.

83304576 is a `hidden beast` number, since 83 + 3 + 0 + 4 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51494976 + 31809600 = 7176^2 + 5640^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 83304576.

It is not an unprimeable number, because it can be changed into a prime (83304577) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35005 + ... + 37308.

Almost surely, 2^83304576 is an apocalyptic number.

It is an amenable number.

83304576 is an abundant number, since it is smaller than the sum of its proper divisors (156416334).

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

83304576 is a wasteful number, since it uses less digits than its factorization.

83304576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72333 (or 72318 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 83304576 is about 9127.1340518259. The cubic root of 83304576 is about 436.7399828983.

The spelling of 83304576 in words is "eighty-three million, three hundred four thousand, five hundred seventy-six".