83542968 has 64 divisors (see below), whose sum is σ = 240084000. Its totient is φ = 26885376.

The previous prime is 83542967. The next prime is 83543021. The reversal of 83542968 is 86924538.

83542968 is a `hidden beast` number, since 8 + 354 + 296 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83542967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 12932.

Almost surely, 2^83542968 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 83542968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120042000).

83542968 is an abundant number, since it is smaller than the sum of its proper divisors (156541032).

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

83542968 is a wasteful number, since it uses less digits than its factorization.

83542968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13381 (or 13371 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 83542968 is about 9140.1842432196. The cubic root of 83542968 is about 437.1561911679.

The spelling of 83542968 in words is "eighty-three million, five hundred forty-two thousand, nine hundred sixty-eight".