213072864 has 96 divisors (see below), whose sum is σ = 573987456. Its totient is φ = 69189120.

The previous prime is 213072857. The next prime is 213072919. The reversal of 213072864 is 468270312.

213072864 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009719 + ... + 1009929.

It is an arithmetic number, because the mean of its divisors is an integer number (5979036).

Almost surely, 2^213072864 is an apocalyptic number.

213072864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213072864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286993728).

213072864 is an abundant number, since it is smaller than the sum of its proper divisors (360914592).

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

213072864 is a wasteful number, since it uses less digits than its factorization.

213072864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 213072864 is about 14597.0155853859. The cubic root of 213072864 is about 597.2773528976.

The spelling of 213072864 in words is "two hundred thirteen million, seventy-two thousand, eight hundred sixty-four".