18198432 has 240 divisors, whose sum is σ = 65862720. Its totient is φ = 4810752.

The previous prime is 18198431. The next prime is 18198469. The reversal of 18198432 is 23489181.

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 (18198431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308419 + ... + 308477.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 2^18198432 is an apocalyptic number.

18198432 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 18198432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

18198432 is an abundant number, since it is smaller than the sum of its proper divisors (47664288).

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

18198432 is a wasteful number, since it uses less digits than its factorization.

18198432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 18198432 is about 4265.9620251474. The cubic root of 18198432 is about 263.0336572076.

The spelling of 18198432 in words is "eighteen million, one hundred ninety-eight thousand, four hundred thirty-two".