215165160 has 320 divisors, whose sum is σ = 846806400. Its totient is φ = 47983104.

The previous prime is 215165147. The next prime is 215165179. The reversal of 215165160 is 61561512.

It is a happy number.

215165160 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 651 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1201951 + ... + 1202129.

It is an arithmetic number, because the mean of its divisors is an integer number (2646270).

Almost surely, 2^215165160 is an apocalyptic number.

215165160 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 215165160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423403200).

215165160 is an abundant number, since it is smaller than the sum of its proper divisors (631641240).

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

215165160 is a wasteful number, since it uses less digits than its factorization.

215165160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 215165160 is about 14668.5091266972. The cubic root of 215165160 is about 599.2260019744.

The spelling of 215165160 in words is "two hundred fifteen million, one hundred sixty-five thousand, one hundred sixty".