83166304 has 48 divisors (see below), whose sum is σ = 182044800. Its totient is φ = 37140480.

The previous prime is 83166301. The next prime is 83166319. The reversal of 83166304 is 40366138.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83166301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9672 + ... + 16120.

It is an arithmetic number, because the mean of its divisors is an integer number (3792600).

Almost surely, 2^83166304 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 83166304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91022400).

83166304 is an abundant number, since it is smaller than the sum of its proper divisors (98878496).

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

83166304 is a wasteful number, since it uses less digits than its factorization.

83166304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 83166304 is about 9119.5561295493. The cubic root of 83166304 is about 436.4982100507.

The spelling of 83166304 in words is "eighty-three million, one hundred sixty-six thousand, three hundred four".