83056896 has 216 divisors, whose sum is σ = 267845760. Its totient is φ = 24588288.

The previous prime is 83056891. The next prime is 83056901. The reversal of 83056896 is 69865038.

83056896 is a `hidden beast` number, since 83 + 0 + 568 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (83056891) and next prime (83056901).

It is not an unprimeable number, because it can be changed into a prime (83056891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407715 + ... + 1407773.

Almost surely, 2^83056896 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 83056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

83056896 is an abundant number, since it is smaller than the sum of its proper divisors (184788864).

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

83056896 is a wasteful number, since it uses less digits than its factorization.

83056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 83056896 is about 9113.5556178695. Note that the first 3 decimals coincide. The cubic root of 83056896 is about 436.3067168181.

The spelling of 83056896 in words is "eighty-three million, fifty-six thousand, eight hundred ninety-six".