18346968 has 96 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 5806080.

The previous prime is 18346921. The next prime is 18346981. The reversal of 18346968 is 86964381.

18346968 is a `hidden beast` number, since 183 + 469 + 6 + 8 = 666.

It is a super-2 number, since 2×18346968² = 673222469586048, which contains 22 as substring.

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

It is a congruent number.

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, 189096 + ... + 189192.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^18346968 is an apocalyptic number.

18346968 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 18346968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

18346968 is an abundant number, since it is smaller than the sum of its proper divisors (33937992).

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

18346968 is a wasteful number, since it uses less digits than its factorization.

18346968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 18346968 is about 4283.3360830082. The cubic root of 18346968 is about 263.7473478167.

The spelling of 18346968 in words is "eighteen million, three hundred forty-six thousand, nine hundred sixty-eight".