213883824 has 160 divisors (see below), whose sum is σ = 703526400. Its totient is φ = 55507200.

The previous prime is 213883823. The next prime is 213883829. The reversal of 213883824 is 428388312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213883823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180514 + ... + 181694.

It is an arithmetic number, because the mean of its divisors is an integer number (4397040).

Almost surely, 2^213883824 is an apocalyptic number.

213883824 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 213883824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351763200).

213883824 is an abundant number, since it is smaller than the sum of its proper divisors (489642576).

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

213883824 is a wasteful number, since it uses less digits than its factorization.

213883824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1204 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 213883824 is about 14624.7674853312. The cubic root of 213883824 is about 598.0341438281.

The spelling of 213883824 in words is "two hundred thirteen million, eight hundred eighty-three thousand, eight hundred twenty-four".