213835600 has 120 divisors (see below), whose sum is σ = 585087552. Its totient is φ = 74342400.

The previous prime is 213835597. The next prime is 213835621. The reversal of 213835600 is 6538312.

It is a super-3 number, since 3×213835600³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 100144 + ... + 102256.

Almost surely, 2^213835600 is an apocalyptic number.

213835600 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 213835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292543776).

213835600 is an abundant number, since it is smaller than the sum of its proper divisors (371251952).

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

213835600 is a wasteful number, since it uses less digits than its factorization.

213835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 213835600 is about 14623.1186824152. The cubic root of 213835600 is about 597.9891945565.

The spelling of 213835600 in words is "two hundred thirteen million, eight hundred thirty-five thousand, six hundred".