18895968 has 216 divisors, whose sum is σ = 67970448. Its totient is φ = 4935168.

The previous prime is 18895951. The next prime is 18895979. The reversal of 18895968 is 86959881.

Its product of digits (1244160) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183405 + ... + 183507.

It is an arithmetic number, because the mean of its divisors is an integer number (314678).

Almost surely, 2^18895968 is an apocalyptic number.

18895968 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 18895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33985224).

18895968 is an abundant number, since it is smaller than the sum of its proper divisors (49074480).

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

18895968 is a wasteful number, since it uses less digits than its factorization.

18895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 18895968 is about 4346.9492750664. The cubic root of 18895968 is about 266.3522572236.

The spelling of 18895968 in words is "eighteen million, eight hundred ninety-five thousand, nine hundred sixty-eight".