18916560 has 240 divisors, whose sum is σ = 71495424. Its totient is φ = 4451328.

The previous prime is 18916559. The next prime is 18916577. The reversal of 18916560 is 6561981.

18916560 is a `hidden beast` number, since 1 + 8 + 91 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402457 + ... + 402503.

Almost surely, 2^18916560 is an apocalyptic number.

18916560 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 18916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

18916560 is an abundant number, since it is smaller than the sum of its proper divisors (52578864).

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

18916560 is a wasteful number, since it uses less digits than its factorization.

18916560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 18916560 is about 4349.3171877894. The cubic root of 18916560 is about 266.4489751151.

It can be divided in two parts, 189165 and 60, that added together give a square (189225 = 435²).

The spelling of 18916560 in words is "eighteen million, nine hundred sixteen thousand, five hundred sixty".