213842600 has 48 divisors (see below), whose sum is σ = 501158400. Its totient is φ = 84853440.

The previous prime is 213842599. The next prime is 213842617. The reversal of 213842600 is 6248312.

It is a self number, because there is not a number n which added to its sum of digits gives 213842600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21191 + ... + 29609.

It is an arithmetic number, because the mean of its divisors is an integer number (10440800).

Almost surely, 2^213842600 is an apocalyptic number.

213842600 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 213842600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250579200).

213842600 is an abundant number, since it is smaller than the sum of its proper divisors (287315800).

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

213842600 is a wasteful number, since it uses less digits than its factorization.

213842600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 213842600 is about 14623.3580274847. The cubic root of 213842600 is about 597.9957196295.

The spelling of 213842600 in words is "two hundred thirteen million, eight hundred forty-two thousand, six hundred".