18009264 has 240 divisors, whose sum is σ = 63329280. Its totient is φ = 4354560.

The previous prime is 18009259. The next prime is 18009287. The reversal of 18009264 is 46290081.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 580929 + ... + 580959.

It is an arithmetic number, because the mean of its divisors is an integer number (263872).

Almost surely, 2^18009264 is an apocalyptic number.

18009264 is a gapful number since it is divisible by the number (14) 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 18009264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

18009264 is an abundant number, since it is smaller than the sum of its proper divisors (45320016).

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

18009264 is a wasteful number, since it uses less digits than its factorization.

18009264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 18009264 is about 4243.7323195508. The cubic root of 18009264 is about 262.1190919845.

The spelling of 18009264 in words is "eighteen million, nine thousand, two hundred sixty-four".