83264580 has 72 divisors (see below), whose sum is σ = 288654912. Its totient is φ = 19031616.

The previous prime is 83264579. The next prime is 83264617. The reversal of 83264580 is 8546238.

83264580 is a `hidden beast` number, since 8 + 3 + 2 + 645 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31782 + ... + 34301.

It is an arithmetic number, because the mean of its divisors is an integer number (4009096).

Almost surely, 2^83264580 is an apocalyptic number.

It is an amenable number.

83264580 is an abundant number, since it is smaller than the sum of its proper divisors (205390332).

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

83264580 is a wasteful number, since it uses less digits than its factorization.

83264580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66105 (or 66100 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83264580 is about 9124.9427395464. The cubic root of 83264580 is about 436.6700761798.

The spelling of 83264580 in words is "eighty-three million, two hundred sixty-four thousand, five hundred eighty".