18957216 has 48 divisors (see below), whose sum is σ = 50083488. Its totient is φ = 6278400.

The previous prime is 18957203. The next prime is 18957223. The reversal of 18957216 is 61275981.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16831 + ... + 17921.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 2^18957216 is an apocalyptic number.

18957216 is a gapful number since it is divisible by the number (16) 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 18957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041744).

18957216 is an abundant number, since it is smaller than the sum of its proper divisors (31126272).

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

18957216 is a wasteful number, since it uses less digits than its factorization.

18957216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 18957216 is about 4353.9885162917. The cubic root of 18957216 is about 266.6397250559.

The spelling of 18957216 in words is "eighteen million, nine hundred fifty-seven thousand, two hundred sixteen".