216861760 has 56 divisors (see below), whose sum is σ = 527425920. Its totient is φ = 84893184.

The previous prime is 216861719. The next prime is 216861787. The reversal of 216861760 is 67168612.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7831 + ... + 22249.

It is an arithmetic number, because the mean of its divisors is an integer number (9418320).

Almost surely, 2^216861760 is an apocalyptic number.

216861760 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 216861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263712960).

216861760 is an abundant number, since it is smaller than the sum of its proper divisors (310564160).

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

216861760 is a wasteful number, since it uses less digits than its factorization.

216861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14473 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 216861760 is about 14726.2269437898. The cubic root of 216861760 is about 600.7968671287.

The spelling of 216861760 in words is "two hundred sixteen million, eight hundred sixty-one thousand, seven hundred sixty".