216260160 has 112 divisors (see below), whose sum is σ = 701381376. Its totient is φ = 56430592.

The previous prime is 216260159. The next prime is 216260173. The reversal of 216260160 is 61062612.

216260160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 216260160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42724 + ... + 47516.

Almost surely, 2^216260160 is an apocalyptic number.

216260160 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 216260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350690688).

216260160 is an abundant number, since it is smaller than the sum of its proper divisors (485121216).

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

216260160 is a wasteful number, since it uses less digits than its factorization.

216260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 216260160 is about 14705.7866161590. The cubic root of 216260160 is about 600.2407922411.

The spelling of 216260160 in words is "two hundred sixteen million, two hundred sixty thousand, one hundred sixty".