18461632 has 84 divisors (see below), whose sum is σ = 44246800. Its totient is φ = 7639296.

The previous prime is 18461621. The next prime is 18461659. The reversal of 18461632 is 23616481.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×18461632² = 681663712206848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18461594 and 18461603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636594 + ... + 636622.

Almost surely, 2^18461632 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 18461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123400).

18461632 is an abundant number, since it is smaller than the sum of its proper divisors (25785168).

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

18461632 is an frugal number, since it uses more digits than its factorization.

18461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 18461632 is about 4296.7001291689. The cubic root of 18461632 is about 264.2956589670.

It can be divided in two parts, 184 and 61632, that added together give a palindrome (61816).

The spelling of 18461632 in words is "eighteen million, four hundred sixty-one thousand, six hundred thirty-two".