18464160 has 192 divisors, whose sum is σ = 68584320. Its totient is φ = 4116480.

The previous prime is 18464153. The next prime is 18464167. The reversal of 18464160 is 6146481.

It is an interprime number because it is at equal distance from previous prime (18464153) and next prime (18464167).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18464167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68506 + ... + 68774.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^18464160 is an apocalyptic number.

18464160 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 18464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

18464160 is an abundant number, since it is smaller than the sum of its proper divisors (50120160).

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

18464160 is a wasteful number, since it uses less digits than its factorization.

18464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18464160 is about 4296.9942983439. The cubic root of 18464160 is about 264.3077219838.

It can be divided in two parts, 1846 and 4160, that added together give a palindrome (6006).

The spelling of 18464160 in words is "eighteen million, four hundred sixty-four thousand, one hundred sixty".