18690960 has 80 divisors (see below), whose sum is σ = 59210496. Its totient is φ = 4875264.

The previous prime is 18690941. The next prime is 18690961. The reversal of 18690960 is 6909681.

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

It is not an unprimeable number, because it can be changed into a prime (18690961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10452 + ... + 12108.

Almost surely, 2^18690960 is an apocalyptic number.

18690960 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 18690960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29605248).

18690960 is an abundant number, since it is smaller than the sum of its proper divisors (40519536).

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

18690960 is a wasteful number, since it uses less digits than its factorization.

18690960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 18690960 is about 4323.3042918583. The cubic root of 18690960 is about 265.3855075019.

The spelling of 18690960 in words is "eighteen million, six hundred ninety thousand, nine hundred sixty".