213606000 has 120 divisors (see below), whose sum is σ = 746117424. Its totient is φ = 56956800.

The previous prime is 213605981. The next prime is 213606007. The reversal of 213606000 is 606312.

It is a happy number.

213606000 is a `hidden beast` number, since 2 + 1 + 3 + 60 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213606007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12067 + ... + 23933.

Almost surely, 2^213606000 is an apocalyptic number.

213606000 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 213606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373058712).

213606000 is an abundant number, since it is smaller than the sum of its proper divisors (532511424).

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

213606000 is a wasteful number, since it uses less digits than its factorization.

213606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213606000 is about 14615.2659914214. The cubic root of 213606000 is about 597.7750931807.

The spelling of 213606000 in words is "two hundred thirteen million, six hundred six thousand".