83364804 has 36 divisors (see below), whose sum is σ = 223125084. Its totient is φ = 26153472.

The previous prime is 83364803. The next prime is 83364847. The reversal of 83364804 is 40846338.

83364804 is a `hidden beast` number, since 8 + 3 + 3 + 648 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70056900 + 13307904 = 8370^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (83364803) 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, 67497 + ... + 68720.

It is an arithmetic number, because the mean of its divisors is an integer number (6197919).

Almost surely, 2^83364804 is an apocalyptic number.

It is an amenable number.

83364804 is an abundant number, since it is smaller than the sum of its proper divisors (139760280).

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

83364804 is a wasteful number, since it uses less digits than its factorization.

83364804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136244 (or 136239 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83364804 is about 9130.4328484470. The cubic root of 83364804 is about 436.8452097673.

The spelling of 83364804 in words is "eighty-three million, three hundred sixty-four thousand, eight hundred four".