18045936 has 80 divisors (see below), whose sum is σ = 53245600. Its totient is φ = 5847552.

The previous prime is 18045919. The next prime is 18045949. The reversal of 18045936 is 63954081.

It is a super-2 number, since 2×18045936² = 651311612232192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18045936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15420 + ... + 16548.

It is an arithmetic number, because the mean of its divisors is an integer number (665570).

Almost surely, 2^18045936 is an apocalyptic number.

18045936 is a gapful number since it is divisible by the number (16) 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 18045936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622800).

18045936 is an abundant number, since it is smaller than the sum of its proper divisors (35199664).

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

18045936 is a wasteful number, since it uses less digits than its factorization.

18045936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 18045936 is about 4248.0508471533. The cubic root of 18045936 is about 262.2968877782.

It can be divided in two parts, 18045 and 936, that added together give a palindrome (18981).

The spelling of 18045936 in words is "eighteen million, forty-five thousand, nine hundred thirty-six".