18812160 has 216 divisors, whose sum is σ = 68874624. Its totient is φ = 4730880.

The previous prime is 18812119. The next prime is 18812177. The reversal of 18812160 is 6121881.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264925 + ... + 264995.

It is an arithmetic number, because the mean of its divisors is an integer number (318864).

Almost surely, 2^18812160 is an apocalyptic number.

18812160 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 18812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437312).

18812160 is an abundant number, since it is smaller than the sum of its proper divisors (50062464).

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

18812160 is a wasteful number, since it uses less digits than its factorization.

18812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 18812160 is about 4337.2986984989. The cubic root of 18812160 is about 265.9578956102.

The spelling of 18812160 in words is "eighteen million, eight hundred twelve thousand, one hundred sixty".