18948960 has 72 divisors (see below), whose sum is σ = 64668240. Its totient is φ = 5052672.

The previous prime is 18948959. The next prime is 18948973. The reversal of 18948960 is 6984981.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5140 + ... + 8019.

It is an arithmetic number, because the mean of its divisors is an integer number (898170).

Almost surely, 2^18948960 is an apocalyptic number.

18948960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18948960 is an abundant number, since it is smaller than the sum of its proper divisors (45719280).

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

18948960 is a wasteful number, since it uses less digits than its factorization.

18948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 18948960 is about 4353.0403168360. The cubic root of 18948960 is about 266.6010116144.

The spelling of 18948960 in words is "eighteen million, nine hundred forty-eight thousand, nine hundred sixty".