83020288 has 40 divisors (see below), whose sum is σ = 178652628. Its totient is φ = 38313984.

The previous prime is 83020279. The next prime is 83020307. The reversal of 83020288 is 88202038.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 719104 = 9072^2 + 848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 420 + ... + 12892.

Almost surely, 2^83020288 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 83020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89326314).

83020288 is an abundant number, since it is smaller than the sum of its proper divisors (95632340).

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

83020288 is a wasteful number, since it uses less digits than its factorization.

83020288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504 (or 12488 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 83020288 is about 9111.5469597648. The cubic root of 83020288 is about 436.2426054909.

The spelling of 83020288 in words is "eighty-three million, twenty thousand, two hundred eighty-eight".