18130560 has 256 divisors, whose sum is σ = 70502400. Its totient is φ = 3870720.

The previous prime is 18130559. The next prime is 18130583. The reversal of 18130560 is 6503181.

18130560 = 389² + 390² + ... + 483².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18130560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255325 + ... + 255395.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^18130560 is an apocalyptic number.

18130560 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 18130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

18130560 is an abundant number, since it is smaller than the sum of its proper divisors (52371840).

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

18130560 is a wasteful number, since it uses less digits than its factorization.

18130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 18130560 is about 4257.9995302959. Note that the first 3 decimals coincide. The cubic root of 18130560 is about 262.7062506015.

The spelling of 18130560 in words is "eighteen million, one hundred thirty thousand, five hundred sixty".