18931968 has 180 divisors, whose sum is σ = 62325648. Its totient is φ = 5667840.

The previous prime is 18931963. The next prime is 18931981. The reversal of 18931968 is 86913981.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18931963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228055 + ... + 228137.

Almost surely, 2^18931968 is an apocalyptic number.

18931968 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 18931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31162824).

18931968 is an abundant number, since it is smaller than the sum of its proper divisors (43393680).

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

18931968 is an equidigital number, since it uses as much as digits as its factorization.

18931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 18931968 is about 4351.0881397646. The cubic root of 18931968 is about 266.5212985476.

The spelling of 18931968 in words is "eighteen million, nine hundred thirty-one thousand, nine hundred sixty-eight".