18133968 has 80 divisors (see below), whose sum is σ = 50461056. Its totient is φ = 5591040.

The previous prime is 18133967. The next prime is 18133987. The reversal of 18133968 is 86933181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18133967) 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 15 ways as a sum of consecutive naturals, for example, 57780 + ... + 58092.

Almost surely, 2^18133968 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 18133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25230528).

18133968 is an abundant number, since it is smaller than the sum of its proper divisors (32327088).

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

18133968 is a wasteful number, since it uses less digits than its factorization.

18133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 18133968 is about 4258.3996994176. The cubic root of 18133968 is about 262.7227098616.

The spelling of 18133968 in words is "eighteen million, one hundred thirty-three thousand, nine hundred sixty-eight".