213799824 has 100 divisors (see below), whose sum is σ = 707228544. Its totient is φ = 61083072.

The previous prime is 213799823. The next prime is 213799847. The reversal of 213799824 is 428997312.

213799824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 213799824.

It is not an unprimeable number, because it can be changed into a prime (213799823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2712 + ... + 20855.

Almost surely, 2^213799824 is an apocalyptic number.

213799824 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 213799824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353614272).

213799824 is an abundant number, since it is smaller than the sum of its proper divisors (493428720).

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

213799824 is a wasteful number, since it uses less digits than its factorization.

213799824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23594 (or 23579 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 213799824 is about 14621.8953627770. The cubic root of 213799824 is about 597.9558436167.

The spelling of 213799824 in words is "two hundred thirteen million, seven hundred ninety-nine thousand, eight hundred twenty-four".