18541840 has 40 divisors (see below), whose sum is σ = 44169048. Its totient is φ = 7234560.

The previous prime is 18541769. The next prime is 18541867. The reversal of 18541840 is 4814581.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 17875984 = 816^2 + 4228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 454 + ... + 6106.

Almost surely, 2^18541840 is an apocalyptic number.

18541840 is a gapful number since it is divisible by the number (10) 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 18541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084524).

18541840 is an abundant number, since it is smaller than the sum of its proper divisors (25627208).

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

18541840 is a wasteful number, since it uses less digits than its factorization.

18541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 18541840 is about 4306.0236878122. The cubic root of 18541840 is about 264.6778570378.

It can be divided in two parts, 185 and 41840, that added together give a square (42025 = 205²).

The spelling of 18541840 in words is "eighteen million, five hundred forty-one thousand, eight hundred forty".