18642432 has 80 divisors (see below), whose sum is σ = 50822640. Its totient is φ = 6070272.

The previous prime is 18642431. The next prime is 18642467. The reversal of 18642432 is 23424681.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18642432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18642431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81294 + ... + 81522.

It is an arithmetic number, because the mean of its divisors is an integer number (635283).

Almost surely, 2^18642432 is an apocalyptic number.

18642432 is a gapful number since it is divisible by the number (12) 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 18642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411320).

18642432 is an abundant number, since it is smaller than the sum of its proper divisors (32180208).

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

18642432 is an equidigital number, since it uses as much as digits as its factorization.

18642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 18642432 is about 4317.6882703595. The cubic root of 18642432 is about 265.1556318515.

The spelling of 18642432 in words is "eighteen million, six hundred forty-two thousand, four hundred thirty-two".