213268416 has 28 divisors (see below), whose sum is σ = 564273192. Its totient is φ = 71089408.

The previous prime is 213268409. The next prime is 213268423. The reversal of 213268416 is 614862312.

213268416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213268409) and next prime (213268423).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555195 + ... + 555578.

It is an arithmetic number, because the mean of its divisors is an integer number (20152614).

Almost surely, 2^213268416 is an apocalyptic number.

It is an amenable number.

213268416 is an abundant number, since it is smaller than the sum of its proper divisors (351004776).

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

213268416 is a wasteful number, since it uses less digits than its factorization.

213268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110788 (or 1110778 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 213268416 is about 14603.7124047278. The cubic root of 213268416 is about 597.4600182160.

The spelling of 213268416 in words is "two hundred thirteen million, two hundred sixty-eight thousand, four hundred sixteen".