18978960 has 320 divisors, whose sum is σ = 79994880. Its totient is φ = 3594240.

The previous prime is 18978959. The next prime is 18978989. The reversal of 18978960 is 6987981.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240201 + ... + 240279.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^18978960 is an apocalyptic number.

18978960 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 18978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

18978960 is an abundant number, since it is smaller than the sum of its proper divisors (61015920).

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

18978960 is a wasteful number, since it uses less digits than its factorization.

18978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 18978960 is about 4356.4848215046. The cubic root of 18978960 is about 266.7416317017.

The spelling of 18978960 in words is "eighteen million, nine hundred seventy-eight thousand, nine hundred sixty".