213528960 has 192 divisors, whose sum is σ = 765208080. Its totient is φ = 56899584.

The previous prime is 213528947. The next prime is 213528971. The reversal of 213528960 is 69825312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154834 + ... + 156206.

Almost surely, 2^213528960 is an apocalyptic number.

213528960 is a gapful number since it is divisible by the number (20) 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 213528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382604040).

213528960 is an abundant number, since it is smaller than the sum of its proper divisors (551679120).

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

213528960 is an equidigital number, since it uses as much as digits as its factorization.

213528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 213528960 is about 14612.6301533981. The cubic root of 213528960 is about 597.7032192152.

The spelling of 213528960 in words is "two hundred thirteen million, five hundred twenty-eight thousand, nine hundred sixty".