18354560 has 128 divisors (see below), whose sum is σ = 53317440. Its totient is φ = 5898240.

The previous prime is 18354521. The next prime is 18354563. The reversal of 18354560 is 6545381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18354563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76040 + ... + 76280.

Almost surely, 2^18354560 is an apocalyptic number.

18354560 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 18354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658720).

18354560 is an abundant number, since it is smaller than the sum of its proper divisors (34962880).

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

18354560 is a wasteful number, since it uses less digits than its factorization.

18354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 18354560 is about 4284.2222164589. Note that the first 4 decimals coincide. The cubic root of 18354560 is about 263.7837224688.

The spelling of 18354560 in words is "eighteen million, three hundred fifty-four thousand, five hundred sixty".