216320624 has 80 divisors (see below), whose sum is σ = 479969280. Its totient is φ = 93623040.

The previous prime is 216320623. The next prime is 216320627. The reversal of 216320624 is 426023612.

It is a super-2 number, since 2×216320624² = 93589224735498752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 216320593 and 216320602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216320623) 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, 501689 + ... + 502119.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2^216320624 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 216320624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

216320624 is an abundant number, since it is smaller than the sum of its proper divisors (263648656).

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

216320624 is a wasteful number, since it uses less digits than its factorization.

216320624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 216320624 is about 14707.8422618683. The cubic root of 216320624 is about 600.2967273047.

The spelling of 216320624 in words is "two hundred sixteen million, three hundred twenty thousand, six hundred twenty-four".