18249264 has 120 divisors (see below), whose sum is σ = 57277584. Its totient is φ = 5376000.

The previous prime is 18249247. The next prime is 18249277. The reversal of 18249264 is 46294281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64804 + ... + 65084.

Almost surely, 2^18249264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18249264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28638792).

18249264 is an abundant number, since it is smaller than the sum of its proper divisors (39028320).

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

18249264 is a wasteful number, since it uses less digits than its factorization.

18249264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 18249264 is about 4271.9157295059. The cubic root of 18249264 is about 263.2783320832.

The spelling of 18249264 in words is "eighteen million, two hundred forty-nine thousand, two hundred sixty-four".