216713664 has 112 divisors (see below), whose sum is σ = 645200640. Its totient is φ = 71320320.

The previous prime is 216713647. The next prime is 216713681. The reversal of 216713664 is 466317612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216713647) and next prime (216713681).

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

It is a congruent number.

It is an unprimeable number.

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, 142669 + ... + 144179.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2^216713664 is an apocalyptic number.

216713664 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 216713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

216713664 is an abundant number, since it is smaller than the sum of its proper divisors (428486976).

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

216713664 is a wasteful number, since it uses less digits than its factorization.

216713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1599 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 216713664 is about 14721.1977773549. The cubic root of 216713664 is about 600.6600735718.

The spelling of 216713664 in words is "two hundred sixteen million, seven hundred thirteen thousand, six hundred sixty-four".