18648960 has 128 divisors (see below), whose sum is σ = 64920960. Its totient is φ = 4515840.

The previous prime is 18648947. The next prime is 18648961. The reversal of 18648960 is 6984681.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18648961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20679 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (507195).

Almost surely, 2^18648960 is an apocalyptic number.

18648960 is a gapful number since it is divisible by the number (10) 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 18648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32460480).

18648960 is an abundant number, since it is smaller than the sum of its proper divisors (46272000).

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

18648960 is a wasteful number, since it uses less digits than its factorization.

18648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 18648960 is about 4318.4441642795. Note that the first 3 decimals coincide. The cubic root of 18648960 is about 265.1865779921.

The spelling of 18648960 in words is "eighteen million, six hundred forty-eight thousand, nine hundred sixty".