183964968 has 96 divisors (see below), whose sum is σ = 548776800. Its totient is φ = 55209600.

The previous prime is 183964919. The next prime is 183964987. The reversal of 183964968 is 869469381.

183964968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85263 + ... + 87393.

It is an arithmetic number, because the mean of its divisors is an integer number (5716425).

Almost surely, 2^183964968 is an apocalyptic number.

183964968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 183964968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274388400).

183964968 is an abundant number, since it is smaller than the sum of its proper divisors (364811832).

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

183964968 is a wasteful number, since it uses less digits than its factorization.

183964968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 183964968 is about 13563.3686081298. The cubic root of 183964968 is about 568.7372971763.

The spelling of 183964968 in words is "one hundred eighty-three million, nine hundred sixty-four thousand, nine hundred sixty-eight".