18432648 has 96 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 5537664.

The previous prime is 18432647. The next prime is 18432649. The reversal of 18432648 is 84623481.

18432648 is a `hidden beast` number, since 1 + 8 + 4 + 3 + 2 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (18432647) and next prime (18432649).

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 not an unprimeable number, because it can be changed into a prime (18432647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43783 + ... + 44201.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^18432648 is an apocalyptic number.

18432648 is a gapful number since it is divisible by the number (18) 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 18432648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

18432648 is an abundant number, since it is smaller than the sum of its proper divisors (36604152).

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

18432648 is a wasteful number, since it uses less digits than its factorization.

18432648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

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

The square root of 18432648 is about 4293.3259834306. The cubic root of 18432648 is about 264.1572754321.

It can be divided in two parts, 18432 and 648, that multiplied together give a square (11943936 = 3456²).

The spelling of 18432648 in words is "eighteen million, four hundred thirty-two thousand, six hundred forty-eight".