216007960 has 96 divisors (see below), whose sum is σ = 586496160. Its totient is φ = 70129152.

The previous prime is 216007951. The next prime is 216007991. The reversal of 216007960 is 69700612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100012 + ... + 102148.

It is an arithmetic number, because the mean of its divisors is an integer number (6109335).

Almost surely, 2^216007960 is an apocalyptic number.

216007960 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 216007960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293248080).

216007960 is an abundant number, since it is smaller than the sum of its proper divisors (370488200).

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

216007960 is a wasteful number, since it uses less digits than its factorization.

216007960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 216007960 is about 14697.2092589035. The cubic root of 216007960 is about 600.0073702798.

The spelling of 216007960 in words is "two hundred sixteen million, seven thousand, nine hundred sixty".