18898560 has 192 divisors, whose sum is σ = 69455880. Its totient is φ = 4718592.

The previous prime is 18898553. The next prime is 18898591. The reversal of 18898560 is 6589881.

18898560 is a `hidden beast` number, since 1 + 8 + 89 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 3594816 = 3912^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97824 + ... + 98016.

Almost surely, 2^18898560 is an apocalyptic number.

18898560 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 18898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34727940).

18898560 is an abundant number, since it is smaller than the sum of its proper divisors (50557320).

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

18898560 is a wasteful number, since it uses less digits than its factorization.

18898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 18898560 is about 4347.2474049679. The cubic root of 18898560 is about 266.3644353681.

The spelling of 18898560 in words is "eighteen million, eight hundred ninety-eight thousand, five hundred sixty".