18955680 has 192 divisors, whose sum is σ = 66624768. Its totient is φ = 4505600.

The previous prime is 18955661. The next prime is 18955681. The reversal of 18955680 is 8655981.

It is a super-3 number, since 3×18955680³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (18955681) 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, 187630 + ... + 187730.

It is an arithmetic number, because the mean of its divisors is an integer number (347004).

Almost surely, 2^18955680 is an apocalyptic number.

18955680 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 18955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33312384).

18955680 is an abundant number, since it is smaller than the sum of its proper divisors (47669088).

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

18955680 is a wasteful number, since it uses less digits than its factorization.

18955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 18955680 is about 4353.8121227265. The cubic root of 18955680 is about 266.6325234064.

The spelling of 18955680 in words is "eighteen million, nine hundred fifty-five thousand, six hundred eighty".