216163760 has 80 divisors (see below), whose sum is σ = 536751360. Its totient is φ = 80720640.

The previous prime is 216163711. The next prime is 216163769. The reversal of 216163760 is 67361612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×216163760² = 93453542274675200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216163769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106919 + ... + 108921.

It is an arithmetic number, because the mean of its divisors is an integer number (6709392).

Almost surely, 2^216163760 is an apocalyptic number.

216163760 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 216163760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268375680).

216163760 is an abundant number, since it is smaller than the sum of its proper divisors (320587600).

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

216163760 is a wasteful number, since it uses less digits than its factorization.

216163760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 216163760 is about 14702.5086294822. The cubic root of 216163760 is about 600.1515913265.

The spelling of 216163760 in words is "two hundred sixteen million, one hundred sixty-three thousand, seven hundred sixty".