213424320 has 56 divisors (see below), whose sum is σ = 677625264. Its totient is φ = 56912896.

The previous prime is 213424301. The next prime is 213424339. The reversal of 213424320 is 23424312.

It is an interprime number because it is at equal distance from previous prime (213424301) and next prime (213424339).

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 7 ways as a sum of consecutive naturals, for example, 110199 + ... + 112118.

Almost surely, 2^213424320 is an apocalyptic number.

213424320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213424320 is an abundant number, since it is smaller than the sum of its proper divisors (464200944).

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

213424320 is a wasteful number, since it uses less digits than its factorization.

213424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222337 (or 222327 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 213424320 is about 14609.0492503790. The cubic root of 213424320 is about 597.6055683171.

Adding to 213424320 its reverse (23424312), we get a palindrome (236848632).

The spelling of 213424320 in words is "two hundred thirteen million, four hundred twenty-four thousand, three hundred twenty".