18382464 has 112 divisors (see below), whose sum is σ = 55185570. Its totient is φ = 6096384.

The previous prime is 18382447. The next prime is 18382471. The reversal of 18382464 is 46428381.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 7884864 = 3240^2 + 2808^2 .

It is a super-2 number, since 2×18382464² = 675829965422592, which contains 22 as substring.

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 polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93214 + ... + 93410.

Almost surely, 2^18382464 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 18382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27592785).

18382464 is an abundant number, since it is smaller than the sum of its proper divisors (36803106).

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

18382464 is an frugal number, since it uses more digits than its factorization.

18382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18382464 is about 4287.4775801163. The cubic root of 18382464 is about 263.9173294867.

It can be divided in two parts, 1 and 8382464, that added together give a triangular number (8382465 = T₄₀₉₄).

The spelling of 18382464 in words is "eighteen million, three hundred eighty-two thousand, four hundred sixty-four".