213408768 has 88 divisors (see below), whose sum is σ = 574339072. Its totient is φ = 70447104.

The previous prime is 213408763. The next prime is 213408773. The reversal of 213408768 is 867804312.

It is an interprime number because it is at equal distance from previous prime (213408763) and next prime (213408773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213408761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389871 + ... + 390417.

Almost surely, 2^213408768 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 213408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287169536).

213408768 is an abundant number, since it is smaller than the sum of its proper divisors (360930304).

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

213408768 is a wasteful number, since it uses less digits than its factorization.

213408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 213408768 is about 14608.5169678513. The cubic root of 213408768 is about 597.5910523401.

The spelling of 213408768 in words is "two hundred thirteen million, four hundred eight thousand, seven hundred sixty-eight".