216761120 has 96 divisors (see below), whose sum is σ = 544682880. Its totient is φ = 81285120.

The previous prime is 216761053. The next prime is 216761123. The reversal of 216761120 is 21167612.

It is a self number, because there is not a number n which added to its sum of digits gives 216761120.

It is not an unprimeable number, because it can be changed into a prime (216761123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343205 + ... + 343835.

It is an arithmetic number, because the mean of its divisors is an integer number (5673780).

Almost surely, 2^216761120 is an apocalyptic number.

216761120 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 216761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272341440).

216761120 is an abundant number, since it is smaller than the sum of its proper divisors (327921760).

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

216761120 is a wasteful number, since it uses less digits than its factorization.

216761120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 216761120 is about 14722.8095144915. The cubic root of 216761120 is about 600.7039145915.

The spelling of 216761120 in words is "two hundred sixteen million, seven hundred sixty-one thousand, one hundred twenty".