18481632 has 96 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 5568000.

The previous prime is 18481621. The next prime is 18481637. The reversal of 18481632 is 23618481.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 18481593 and 18481602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18481637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73507 + ... + 73757.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^18481632 is an apocalyptic number.

18481632 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 18481632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

18481632 is an abundant number, since it is smaller than the sum of its proper divisors (34861728).

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

18481632 is a wasteful number, since it uses less digits than its factorization.

18481632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 18481632 is about 4299.0268666292. The cubic root of 18481632 is about 264.3910641391.

The spelling of 18481632 in words is "eighteen million, four hundred eighty-one thousand, six hundred thirty-two".