216631680 has 128 divisors (see below), whose sum is σ = 731242080. Its totient is φ = 54362112.

The previous prime is 216631669. The next prime is 216631691. The reversal of 216631680 is 86136612.

It is an interprime number because it is at equal distance from previous prime (216631669) and next prime (216631691).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29322 + ... + 35958.

Almost surely, 2^216631680 is an apocalyptic number.

216631680 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 216631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365621040).

216631680 is an abundant number, since it is smaller than the sum of its proper divisors (514610400).

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

216631680 is a wasteful number, since it uses less digits than its factorization.

216631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 216631680 is about 14718.4129579245. The cubic root of 216631680 is about 600.5843196551.

The spelling of 216631680 in words is "two hundred sixteen million, six hundred thirty-one thousand, six hundred eighty".