18001632 has 48 divisors (see below), whose sum is σ = 51553152. Its totient is φ = 5454720.

The previous prime is 18001631. The next prime is 18001639. The reversal of 18001632 is 23610081.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 18001599 and 18001608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18001631) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7468 + ... + 9579.

It is an arithmetic number, because the mean of its divisors is an integer number (1074024).

Almost surely, 2^18001632 is an apocalyptic number.

18001632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18001632 is an abundant number, since it is smaller than the sum of its proper divisors (33551520).

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

18001632 is a wasteful number, since it uses less digits than its factorization.

18001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17071 (or 17063 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 18001632 is about 4242.8330158044. The cubic root of 18001632 is about 262.0820596444.

The spelling of 18001632 in words is "eighteen million, one thousand, six hundred thirty-two".