213504384 has 128 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 68096000.

The previous prime is 213504371. The next prime is 213504407. The reversal of 213504384 is 483405312.

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

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, 1117729 + ... + 1117919.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^213504384 is an apocalyptic number.

213504384 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 213504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

213504384 is an abundant number, since it is smaller than the sum of its proper divisors (378715776).

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

213504384 is a wasteful number, since it uses less digits than its factorization.

213504384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 213504384 is about 14611.7892128240. The cubic root of 213504384 is about 597.6802875593.

Adding to 213504384 its reverse (483405312), we get a palindrome (696909696).

The spelling of 213504384 in words is "two hundred thirteen million, five hundred four thousand, three hundred eighty-four".