216929664 has 320 divisors, whose sum is σ = 765204000. Its totient is φ = 60963840.

The previous prime is 216929659. The next prime is 216929731. The reversal of 216929664 is 466929612.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3556194 + ... + 3556254.

Almost surely, 2^216929664 is an apocalyptic number.

216929664 is a gapful number since it is divisible by the number (24) 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 216929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382602000).

216929664 is an abundant number, since it is smaller than the sum of its proper divisors (548274336).

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

216929664 is an frugal number, since it uses more digits than its factorization.

216929664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 216929664 is about 14728.5323097721. The cubic root of 216929664 is about 600.8595679834.

The spelling of 216929664 in words is "two hundred sixteen million, nine hundred twenty-nine thousand, six hundred sixty-four".