18396560 has 180 divisors, whose sum is σ = 56551068. Its totient is φ = 5515776.

The previous prime is 18396559. The next prime is 18396569. The reversal of 18396560 is 6569381.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 13868176 = 2128^2 + 3724^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18396569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 968231 + ... + 968249.

Almost surely, 2^18396560 is an apocalyptic number.

18396560 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 18396560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28275534).

18396560 is an abundant number, since it is smaller than the sum of its proper divisors (38154508).

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

18396560 is a wasteful number, since it uses less digits than its factorization.

18396560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 18396560 is about 4289.1211220948. The cubic root of 18396560 is about 263.9847710836.

The spelling of 18396560 in words is "eighteen million, three hundred ninety-six thousand, five hundred sixty".