216118560 has 192 divisors, whose sum is σ = 785562624. Its totient is φ = 48921600.

The previous prime is 216118543. The next prime is 216118571. The reversal of 216118560 is 65811612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439915 + ... + 440405.

It is an arithmetic number, because the mean of its divisors is an integer number (4091472).

Almost surely, 2^216118560 is an apocalyptic number.

216118560 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 216118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392781312).

216118560 is an abundant number, since it is smaller than the sum of its proper divisors (569444064).

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

216118560 is a wasteful number, since it uses less digits than its factorization.

216118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 216118560 is about 14700.9713964758. The cubic root of 216118560 is about 600.1097576986.

The spelling of 216118560 in words is "two hundred sixteen million, one hundred eighteen thousand, five hundred sixty".