216941760 has 448 divisors, whose sum is σ = 930493440. Its totient is φ = 46448640.

The previous prime is 216941749. The next prime is 216941771. The reversal of 216941760 is 67149612.

It is an interprime number because it is at equal distance from previous prime (216941749) and next prime (216941771).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028055 + ... + 1028265.

Almost surely, 2^216941760 is an apocalyptic number.

216941760 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 216941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465246720).

216941760 is an abundant number, since it is smaller than the sum of its proper divisors (713551680).

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

216941760 is a wasteful number, since it uses less digits than its factorization.

216941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 216941760 is about 14728.9429355945. The cubic root of 216941760 is about 600.8707357541.

The spelling of 216941760 in words is "two hundred sixteen million, nine hundred forty-one thousand, seven hundred sixty".