83396304 has 100 divisors (see below), whose sum is σ = 243289860. Its totient is φ = 27578880.

The previous prime is 83396267. The next prime is 83396317. The reversal of 83396304 is 40369338.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 14837904 = 8280^2 + 3852^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296644 + ... + 296924.

Almost surely, 2^83396304 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 83396304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121644930).

83396304 is an abundant number, since it is smaller than the sum of its proper divisors (159893556).

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

83396304 is a wasteful number, since it uses less digits than its factorization.

83396304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 83396304 is about 9132.1576858922. The cubic root of 83396304 is about 436.9002245562.

The spelling of 83396304 in words is "eighty-three million, three hundred ninety-six thousand, three hundred four".