215480160 has 144 divisors (see below), whose sum is σ = 840411936. Its totient is φ = 49250304.

The previous prime is 215480149. The next prime is 215480173. The reversal of 215480160 is 61084512.

215480160 is a `hidden beast` number, since 21 + 5 + 480 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609 + ... + 20768.

It is an arithmetic number, because the mean of its divisors is an integer number (5836194).

Almost surely, 2^215480160 is an apocalyptic number.

215480160 is a gapful number since it is divisible by the number (20) 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 215480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420205968).

215480160 is an abundant number, since it is smaller than the sum of its proper divisors (624931776).

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

215480160 is a wasteful number, since it uses less digits than its factorization.

215480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21405 (or 21394 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 215480160 is about 14679.2424872675. The cubic root of 215480160 is about 599.5182800133.

The spelling of 215480160 in words is "two hundred fifteen million, four hundred eighty thousand, one hundred sixty".