213624216 has 192 divisors, whose sum is σ = 660441600. Its totient is φ = 64291968.

The previous prime is 213624143. The next prime is 213624221. The reversal of 213624216 is 612426312.

213624216 is a `hidden beast` number, since 2 + 13 + 624 + 21 + 6 = 666.

It is a super-2 number, since 2×213624216² = 91270611323229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 213624216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996435 + ... + 1996541.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^213624216 is an apocalyptic number.

213624216 is a gapful number since it is divisible by the number (26) 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 213624216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

213624216 is an abundant number, since it is smaller than the sum of its proper divisors (446817384).

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

213624216 is a wasteful number, since it uses less digits than its factorization.

213624216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 213624216 is about 14615.8891621413. The cubic root of 213624216 is about 597.7920851528.

The spelling of 213624216 in words is "two hundred thirteen million, six hundred twenty-four thousand, two hundred sixteen".