83152056 has 128 divisors (see below), whose sum is σ = 239904000. Its totient is φ = 23946624.

The previous prime is 83152031. The next prime is 83152057. The reversal of 83152056 is 65025138.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83152057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001791 + ... + 1001873.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 2^83152056 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 83152056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

83152056 is an abundant number, since it is smaller than the sum of its proper divisors (156751944).

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

83152056 is a wasteful number, since it uses less digits than its factorization.

83152056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 83152056 is about 9118.7749177178. The cubic root of 83152056 is about 436.4732817589.

The spelling of 83152056 in words is "eighty-three million, one hundred fifty-two thousand, fifty-six".