83408304 has 160 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 22176000.

The previous prime is 83408293. The next prime is 83408329. The reversal of 83408304 is 40380438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332179 + ... + 332429.

Almost surely, 2^83408304 is an apocalyptic number.

83408304 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 83408304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

83408304 is an abundant number, since it is smaller than the sum of its proper divisors (180574800).

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

83408304 is a wasteful number, since it uses less digits than its factorization.

83408304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83408304 is about 9132.8146811375. The cubic root of 83408304 is about 436.9211789270.

The spelling of 83408304 in words is "eighty-three million, four hundred eight thousand, three hundred four".