213963600 has 240 divisors, whose sum is σ = 724517120. Its totient is φ = 53913600.

The previous prime is 213963583. The next prime is 213963601. The reversal of 213963600 is 6369312.

It is a happy number.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213963601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2708361 + ... + 2708439.

Almost surely, 2^213963600 is an apocalyptic number.

213963600 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 213963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362258560).

213963600 is an abundant number, since it is smaller than the sum of its proper divisors (510553520).

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

213963600 is a wasteful number, since it uses less digits than its factorization.

213963600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 213963600 is about 14627.4946590317. The cubic root of 213963600 is about 598.1084876792.

The spelling of 213963600 in words is "two hundred thirteen million, nine hundred sixty-three thousand, six hundred".