18956960 has 48 divisors (see below), whose sum is σ = 48861792. Its totient is φ = 6892800.

The previous prime is 18956897. The next prime is 18956963. The reversal of 18956960 is 6965981.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (18956963) 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, 3626 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (1017954).

Almost surely, 2^18956960 is an apocalyptic number.

18956960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18956960 is an abundant number, since it is smaller than the sum of its proper divisors (29904832).

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

18956960 is a wasteful number, since it uses less digits than its factorization.

18956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 18956960 is about 4353.9591178604. The cubic root of 18956960 is about 266.6385248080.

The spelling of 18956960 in words is "eighteen million, nine hundred fifty-six thousand, nine hundred sixty".