83004264 has 160 divisors (see below), whose sum is σ = 275299200. Its totient is φ = 22861440.

The previous prime is 83004253. The next prime is 83004289. The reversal of 83004264 is 46240038.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131229 + ... + 131859.

It is an arithmetic number, because the mean of its divisors is an integer number (1720620).

Almost surely, 2^83004264 is an apocalyptic number.

83004264 is a gapful number since it is divisible by the number (84) 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 83004264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137649600).

83004264 is an abundant number, since it is smaller than the sum of its proper divisors (192294936).

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

83004264 is a wasteful number, since it uses less digits than its factorization.

83004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 83004264 is about 9110.6675935411. The cubic root of 83004264 is about 436.2145368446.

The spelling of 83004264 in words is "eighty-three million, four thousand, two hundred sixty-four".