18948864 has 72 divisors (see below), whose sum is σ = 55040832. Its totient is φ = 5739520.

The previous prime is 18948851. The next prime is 18948869. The reversal of 18948864 is 46884981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18948869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7327 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (764456).

Almost surely, 2^18948864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520416).

18948864 is an abundant number, since it is smaller than the sum of its proper divisors (36091968).

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

18948864 is a wasteful number, since it uses less digits than its factorization.

18948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2259 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 18948864 is about 4353.0292900462. The cubic root of 18948864 is about 266.6005613920.

The spelling of 18948864 in words is "eighteen million, nine hundred forty-eight thousand, eight hundred sixty-four".