213245824 has 128 divisors (see below), whose sum is σ = 502329600. Its totient is φ = 89088000.

The previous prime is 213245801. The next prime is 213245833. The reversal of 213245824 is 428542312.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (15360) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412149 + ... + 1412299.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2^213245824 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 213245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).

213245824 is an abundant number, since it is smaller than the sum of its proper divisors (289083776).

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

213245824 is a wasteful number, since it uses less digits than its factorization.

213245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 213245824 is about 14602.9388822935. The cubic root of 213245824 is about 597.4389207126.

The spelling of 213245824 in words is "two hundred thirteen million, two hundred forty-five thousand, eight hundred twenty-four".