18195120 has 120 divisors (see below), whose sum is σ = 62848656. Its totient is φ = 4713984.

The previous prime is 18195113. The next prime is 18195127. The reversal of 18195120 is 2159181.

It is an interprime number because it is at equal distance from previous prime (18195113) and next prime (18195127).

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

It is not an unprimeable number, because it can be changed into a prime (18195127) 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, 26299 + ... + 26981.

Almost surely, 2^18195120 is an apocalyptic number.

18195120 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 18195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31424328).

18195120 is an abundant number, since it is smaller than the sum of its proper divisors (44653536).

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

18195120 is a wasteful number, since it uses less digits than its factorization.

18195120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 18195120 is about 4265.5738183743. The cubic root of 18195120 is about 263.0176994165.

The spelling of 18195120 in words is "eighteen million, one hundred ninety-five thousand, one hundred twenty".