216857344 has 72 divisors (see below), whose sum is σ = 481460112. Its totient is φ = 96645120.

The previous prime is 216857341. The next prime is 216857387. The reversal of 216857344 is 443758612.

216857344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216857297 and 216857306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216857341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148522 + ... + 149974.

It is an arithmetic number, because the mean of its divisors is an integer number (6686946).

Almost surely, 2^216857344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240730056).

216857344 is an abundant number, since it is smaller than the sum of its proper divisors (264602768).

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

216857344 is a wasteful number, since it uses less digits than its factorization.

216857344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1519 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 216857344 is about 14726.0770064536. The cubic root of 216857344 is about 600.7927890515.

The spelling of 216857344 in words is "two hundred sixteen million, eight hundred fifty-seven thousand, three hundred forty-four".