213045632 has 64 divisors (see below), whose sum is σ = 473137200. Its totient is φ = 94961664.

The previous prime is 213045601. The next prime is 213045661. The reversal of 213045632 is 236540312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38768 + ... + 43920.

Almost surely, 2^213045632 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 213045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236568600).

213045632 is an abundant number, since it is smaller than the sum of its proper divisors (260091568).

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

213045632 is a wasteful number, since it uses less digits than its factorization.

213045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 213045632 is about 14596.0827621660. The cubic root of 213045632 is about 597.2519065948.

Adding to 213045632 its reverse (236540312), we get a palindrome (449585944).

The spelling of 213045632 in words is "two hundred thirteen million, forty-five thousand, six hundred thirty-two".