83090304 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 24560640.

The previous prime is 83090303. The next prime is 83090309. The reversal of 83090304 is 40309038.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83090303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001047 + ... + 1001129.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^83090304 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 83090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

83090304 is an abundant number, since it is smaller than the sum of its proper divisors (184231296).

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

83090304 is a wasteful number, since it uses less digits than its factorization.

83090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83090304 is about 9115.3883076916. The cubic root of 83090304 is about 436.3652075701.

The spelling of 83090304 in words is "eighty-three million, ninety thousand, three hundred four".