18168480 has 288 divisors, whose sum is σ = 71705088. Its totient is φ = 4147200.

The previous prime is 18168467. The next prime is 18168481. The reversal of 18168480 is 8486181.

18168480 is a `hidden beast` number, since 18 + 168 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (18168481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491022 + ... + 491058.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^18168480 is an apocalyptic number.

18168480 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 18168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

18168480 is an abundant number, since it is smaller than the sum of its proper divisors (53536608).

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

18168480 is a wasteful number, since it uses less digits than its factorization.

18168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18168480 is about 4262.4499997067. The cubic root of 18168480 is about 262.8892727851.

It can be divided in two parts, 1816 and 8480, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 18168480 in words is "eighteen million, one hundred sixty-eight thousand, four hundred eighty".