83506968 has 48 divisors (see below), whose sum is σ = 230986080. Its totient is φ = 27242304.

The previous prime is 83506961. The next prime is 83506981. The reversal of 83506968 is 86960538.

83506968 is a `hidden beast` number, since 83 + 506 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83506961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8955 + ... + 15722.

It is an arithmetic number, because the mean of its divisors is an integer number (4812210).

Almost surely, 2^83506968 is an apocalyptic number.

It is an amenable number.

83506968 is an abundant number, since it is smaller than the sum of its proper divisors (147479112).

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

83506968 is a wasteful number, since it uses less digits than its factorization.

83506968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24736 (or 24729 counting only the distinct ones).

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

The square root of 83506968 is about 9138.2147052912. The cubic root of 83506968 is about 437.0933896167.

It can be divided in two parts, 83506 and 968, that multiplied together give a palindrome (80833808).

The spelling of 83506968 in words is "eighty-three million, five hundred six thousand, nine hundred sixty-eight".