18472960 has 112 divisors (see below), whose sum is σ = 49542192. Its totient is φ = 6553600.

The previous prime is 18472957. The next prime is 18472963. The reversal of 18472960 is 6927481.

It is an interprime number because it is at equal distance from previous prime (18472957) and next prime (18472963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18472963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450540 + ... + 450580.

It is an arithmetic number, because the mean of its divisors is an integer number (442341).

Almost surely, 2^18472960 is an apocalyptic number.

18472960 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 18472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771096).

18472960 is an abundant number, since it is smaller than the sum of its proper divisors (31069232).

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

18472960 is an equidigital number, since it uses as much as digits as its factorization.

18472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 18472960 is about 4298.0181479375. The cubic root of 18472960 is about 264.3497049126.

The spelling of 18472960 in words is "eighteen million, four hundred seventy-two thousand, nine hundred sixty".