213677568 has 320 divisors, whose sum is σ = 721828800. Its totient is φ = 61931520.

The previous prime is 213677561. The next prime is 213677579. The reversal of 213677568 is 865776312.

213677568 is a `hidden beast` number, since 2 + 13 + 6 + 77 + 568 = 666.

213677568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213677561) 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, 5211628 + ... + 5211668.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^213677568 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 213677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

213677568 is an abundant number, since it is smaller than the sum of its proper divisors (508151232).

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

213677568 is a wasteful number, since it uses less digits than its factorization.

213677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 213677568 is about 14617.7141851933. The cubic root of 213677568 is about 597.8418465971.

The spelling of 213677568 in words is "two hundred thirteen million, six hundred seventy-seven thousand, five hundred sixty-eight".