213505600 has 168 divisors, whose sum is σ = 655368768. Its totient is φ = 66508800.

The previous prime is 213505597. The next prime is 213505613. The reversal of 213505600 is 6505312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122334 + ... + 124066.

Almost surely, 2^213505600 is an apocalyptic number.

213505600 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 213505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327684384).

213505600 is an abundant number, since it is smaller than the sum of its proper divisors (441863168).

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

213505600 is a wasteful number, since it uses less digits than its factorization.

213505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 213505600 is about 14611.8308230009. The cubic root of 213505600 is about 597.6814222399.

The spelling of 213505600 in words is "two hundred thirteen million, five hundred five thousand, six hundred".