83155968 has 132 divisors (see below), whose sum is σ = 274625520. Its totient is φ = 23740416.

The previous prime is 83155967. The next prime is 83155999. The reversal of 83155968 is 86955138.

83155968 is a `hidden beast` number, since 8 + 31 + 559 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83155967) 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 11 ways as a sum of consecutive naturals, for example, 63868 + ... + 65156.

Almost surely, 2^83155968 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 83155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137312760).

83155968 is an abundant number, since it is smaller than the sum of its proper divisors (191469552).

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

83155968 is a wasteful number, since it uses less digits than its factorization.

83155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 83155968 is about 9118.9894176932. The cubic root of 83155968 is about 436.4801264752.

The spelling of 83155968 in words is "eighty-three million, one hundred fifty-five thousand, nine hundred sixty-eight".