18286464 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 5223936.

The previous prime is 18286393. The next prime is 18286483. The reversal of 18286464 is 46468281.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714 + ... + 6089.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^18286464 is an apocalyptic number.

18286464 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 18286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

18286464 is an abundant number, since it is smaller than the sum of its proper divisors (37234176).

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

18286464 is an equidigital number, since it uses as much as digits as its factorization.

18286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6815 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 18286464 is about 4276.2675313876. The cubic root of 18286464 is about 263.4571028853.

The spelling of 18286464 in words is "eighteen million, two hundred eighty-six thousand, four hundred sixty-four".