18961760 has 48 divisors (see below), whose sum is σ = 46022256. Its totient is φ = 7377408.

The previous prime is 18961751. The next prime is 18961771. The reversal of 18961760 is 6716981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4319 + ... + 7521.

It is an arithmetic number, because the mean of its divisors is an integer number (958797).

Almost surely, 2^18961760 is an apocalyptic number.

18961760 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 18961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011128).

18961760 is an abundant number, since it is smaller than the sum of its proper divisors (27060496).

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

18961760 is a wasteful number, since it uses less digits than its factorization.

18961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 18961760 is about 4354.5103054190. The cubic root of 18961760 is about 266.6610276585.

The spelling of 18961760 in words is "eighteen million, nine hundred sixty-one thousand, seven hundred sixty".