18006480 has 120 divisors (see below), whose sum is σ = 61368840. Its totient is φ = 4730880.

The previous prime is 18006479. The next prime is 18006481. The reversal of 18006480 is 8460081.

18006480 is a `hidden beast` number, since 18 + 0 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18006479) and next prime (18006481).

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 16941456 = 1032^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18006481) 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, 63940 + ... + 64220.

It is an arithmetic number, because the mean of its divisors is an integer number (511407).

Almost surely, 2^18006480 is an apocalyptic number.

18006480 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 18006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30684420).

18006480 is an abundant number, since it is smaller than the sum of its proper divisors (43362360).

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

18006480 is a wasteful number, since it uses less digits than its factorization.

18006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18006480 is about 4243.4042937246. The cubic root of 18006480 is about 262.1055845445.

The spelling of 18006480 in words is "eighteen million, six thousand, four hundred eighty".