216467160 has 256 divisors, whose sum is σ = 819624960. Its totient is φ = 44513280.

The previous prime is 216467159. The next prime is 216467161. The reversal of 216467160 is 61764612.

216467160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216467159) and next prime (216467161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216467161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469330 + ... + 469790.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2^216467160 is an apocalyptic number.

216467160 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 216467160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409812480).

216467160 is an abundant number, since it is smaller than the sum of its proper divisors (603157800).

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

216467160 is a wasteful number, since it uses less digits than its factorization.

216467160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 216467160 is about 14712.8229786129. The cubic root of 216467160 is about 600.4322440892.

The spelling of 216467160 in words is "two hundred sixteen million, four hundred sixty-seven thousand, one hundred sixty".