18946560 has 80 divisors (see below), whose sum is σ = 60594336. Its totient is φ = 5050368.

The previous prime is 18946513. The next prime is 18946561. The reversal of 18946560 is 6564981.

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 (18946561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6447 + ... + 8913.

Almost surely, 2^18946560 is an apocalyptic number.

18946560 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 18946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30297168).

18946560 is an abundant number, since it is smaller than the sum of its proper divisors (41647776).

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

18946560 is an equidigital number, since it uses as much as digits as its factorization.

18946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 18946560 is about 4352.7646387095. The cubic root of 18946560 is about 266.5897555975.

The spelling of 18946560 in words is "eighteen million, nine hundred forty-six thousand, five hundred sixty".