213603600 has 240 divisors, whose sum is σ = 797091840. Its totient is φ = 47884800.

The previous prime is 213603583. The next prime is 213603629. The reversal of 213603600 is 6306312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

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 47 ways as a sum of consecutive naturals, for example, 495385 + ... + 495815.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 2^213603600 is an apocalyptic number.

213603600 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 213603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398545920).

213603600 is an abundant number, since it is smaller than the sum of its proper divisors (583488240).

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

213603600 is a wasteful number, since it uses less digits than its factorization.

213603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 213603600 is about 14615.1838852612. The cubic root of 213603600 is about 597.7728543771.

Adding to 213603600 its reverse (6306312), we get a palindrome (219909912).

The spelling of 213603600 in words is "two hundred thirteen million, six hundred three thousand, six hundred".