83002896 has 60 divisors (see below), whose sum is σ = 234507312. Its totient is φ = 27403968.

The previous prime is 83002889. The next prime is 83002897. The reversal of 83002896 is 69820038.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83002896.

It is not an unprimeable number, because it can be changed into a prime (83002897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12715 + ... + 18101.

Almost surely, 2^83002896 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 83002896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117253656).

83002896 is an abundant number, since it is smaller than the sum of its proper divisors (151504416).

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

83002896 is a wasteful number, since it uses less digits than its factorization.

83002896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83002896 is about 9110.5925164064. The cubic root of 83002896 is about 436.2121404024.

The spelling of 83002896 in words is "eighty-three million, two thousand, eight hundred ninety-six".