213024960 has 336 divisors, whose sum is σ = 820216800. Its totient is φ = 50429952.

The previous prime is 213024953. The next prime is 213024989. The reversal of 213024960 is 69420312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930126 + ... + 930354.

Almost surely, 2^213024960 is an apocalyptic number.

213024960 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 213024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410108400).

213024960 is an abundant number, since it is smaller than the sum of its proper divisors (607191840).

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

213024960 is a wasteful number, since it uses less digits than its factorization.

213024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 213024960 is about 14595.3746097865. The cubic root of 213024960 is about 597.2325886821.

It can be divided in two parts, 21302 and 4960, that added together give a palindrome (26262).

The spelling of 213024960 in words is "two hundred thirteen million, twenty-four thousand, nine hundred sixty".