83296256 has 68 divisors (see below), whose sum is σ = 176159424. Its totient is φ = 39321600.

The previous prime is 83296253. The next prime is 83296261. The reversal of 83296256 is 65269238.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83296253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2031596 + ... + 2031636.

Almost surely, 2^83296256 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 83296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88079712).

83296256 is an abundant number, since it is smaller than the sum of its proper divisors (92863168).

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

83296256 is an frugal number, since it uses more digits than its factorization.

83296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 83296256 is about 9126.6782566277. The cubic root of 83296256 is about 436.7254426901.

The spelling of 83296256 in words is "eighty-three million, two hundred ninety-six thousand, two hundred fifty-six".