83042304 has 112 divisors (see below), whose sum is σ = 230672640. Its totient is φ = 26542080.

The previous prime is 83042237. The next prime is 83042317. The reversal of 83042304 is 40324038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761802 + ... + 761910.

Almost surely, 2^83042304 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 83042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115336320).

83042304 is an abundant number, since it is smaller than the sum of its proper divisors (147630336).

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

83042304 is a wasteful number, since it uses less digits than its factorization.

83042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 83042304 is about 9112.7550170078. The cubic root of 83042304 is about 436.2811642118.

It can be divided in two parts, 830 and 42304, that added together give a palindrome (43134).

The spelling of 83042304 in words is "eighty-three million, forty-two thousand, three hundred four".