18141760 has 168 divisors, whose sum is σ = 54726840. Its totient is φ = 5677056.

The previous prime is 18141749. The next prime is 18141763. The reversal of 18141760 is 6714181.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 18113536 = 168^2 + 4256^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (18141763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203796 + ... + 203884.

It is an arithmetic number, because the mean of its divisors is an integer number (325755).

Almost surely, 2^18141760 is an apocalyptic number.

18141760 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 18141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363420).

18141760 is an abundant number, since it is smaller than the sum of its proper divisors (36585080).

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

18141760 is a wasteful number, since it uses less digits than its factorization.

18141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 18141760 is about 4259.3144988366. The cubic root of 18141760 is about 262.7603343207.

It can be divided in two parts, 18 and 141760, that added together give a triangular number (141778 = T₅₃₂).

The spelling of 18141760 in words is "eighteen million, one hundred forty-one thousand, seven hundred sixty".