18920960 has 80 divisors (see below), whose sum is σ = 47876400. Its totient is φ = 7151616.

The previous prime is 18920959. The next prime is 18920969. The reversal of 18920960 is 6902981.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 18920960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18920969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48446 + ... + 48834.

It is an arithmetic number, because the mean of its divisors is an integer number (598455).

Almost surely, 2^18920960 is an apocalyptic number.

18920960 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 18920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938200).

18920960 is an abundant number, since it is smaller than the sum of its proper divisors (28955440).

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

18920960 is an equidigital number, since it uses as much as digits as its factorization.

18920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 18920960 is about 4349.8229849041. The cubic root of 18920960 is about 266.4696322290.

The spelling of 18920960 in words is "eighteen million, nine hundred twenty thousand, nine hundred sixty".