213062688 has 72 divisors (see below), whose sum is σ = 616215600. Its totient is φ = 69811584.

The previous prime is 213062669. The next prime is 213062701. The reversal of 213062688 is 886260312.

213062688 is a `hidden beast` number, since 21 + 3 + 0 + 626 + 8 + 8 = 666.

213062688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10723 + ... + 23261.

It is an arithmetic number, because the mean of its divisors is an integer number (8558550).

Almost surely, 2^213062688 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 213062688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308107800).

213062688 is an abundant number, since it is smaller than the sum of its proper divisors (403152912).

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

213062688 is a wasteful number, since it uses less digits than its factorization.

213062688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12614 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 213062688 is about 14596.6670168227. The cubic root of 213062688 is about 597.2678444271.

The spelling of 213062688 in words is "two hundred thirteen million, sixty-two thousand, six hundred eighty-eight".