18751968 has 36 divisors (see below), whose sum is σ = 53326728. Its totient is φ = 6250560.

The previous prime is 18751961. The next prime is 18751979. The reversal of 18751968 is 86915781.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×18751968³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18751961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32268 + ... + 32843.

It is an arithmetic number, because the mean of its divisors is an integer number (1481298).

Almost surely, 2^18751968 is an apocalyptic number.

18751968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18751968 is an abundant number, since it is smaller than the sum of its proper divisors (34574760).

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

18751968 is a wasteful number, since it uses less digits than its factorization.

18751968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65127 (or 65116 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 18751968 is about 4330.3542580255. The cubic root of 18751968 is about 265.6739366908.

The spelling of 18751968 in words is "eighteen million, seven hundred fifty-one thousand, nine hundred sixty-eight".