18540984 has 128 divisors (see below), whose sum is σ = 58982400. Its totient is φ = 4717440.

The previous prime is 18540971. The next prime is 18540989. The reversal of 18540984 is 48904581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18540989) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 145929 + ... + 146055.

It is an arithmetic number, because the mean of its divisors is an integer number (460800).

Almost surely, 2^18540984 is an apocalyptic number.

18540984 is a gapful number since it is divisible by the number (14) 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 18540984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29491200).

18540984 is an abundant number, since it is smaller than the sum of its proper divisors (40441416).

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

18540984 is a wasteful number, since it uses less digits than its factorization.

18540984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 18540984 is about 4305.9242910205. The cubic root of 18540984 is about 264.6737839481.

The spelling of 18540984 in words is "eighteen million, five hundred forty thousand, nine hundred eighty-four".