213644436 has 96 divisors (see below), whose sum is σ = 547921920. Its totient is φ = 64540800.

The previous prime is 213644429. The next prime is 213644437. The reversal of 213644436 is 634446312.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 213644397 and 213644406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213644437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180266 + ... + 1180446.

It is an arithmetic number, because the mean of its divisors is an integer number (5707520).

Almost surely, 2^213644436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213644436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273960960).

213644436 is an abundant number, since it is smaller than the sum of its proper divisors (334277484).

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

213644436 is a wasteful number, since it uses less digits than its factorization.

213644436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 213644436 is about 14616.5808587371. The cubic root of 213644436 is about 597.8109453345.

The spelling of 213644436 in words is "two hundred thirteen million, six hundred forty-four thousand, four hundred thirty-six".