18398160 has 240 divisors, whose sum is σ = 71031168. Its totient is φ = 4224000.

The previous prime is 18398153. The next prime is 18398161. The reversal of 18398160 is 6189381.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18398161) 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, 182110 + ... + 182210.

Almost surely, 2^18398160 is an apocalyptic number.

18398160 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 18398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35515584).

18398160 is an abundant number, since it is smaller than the sum of its proper divisors (52633008).

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

18398160 is a wasteful number, since it uses less digits than its factorization.

18398160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18398160 is about 4289.3076364374. The cubic root of 18398160 is about 263.9924240250.

It can be divided in two parts, 183981 and 60, that added together give a square (184041 = 429²).

The spelling of 18398160 in words is "eighteen million, three hundred ninety-eight thousand, one hundred sixty".