213398784 has 108 divisors (see below), whose sum is σ = 642192096. Its totient is φ = 68023296.

The previous prime is 213398743. The next prime is 213398797. The reversal of 213398784 is 487893312.

It is a congruent number.

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, 50979 + ... + 55005.

Almost surely, 2^213398784 is an apocalyptic number.

213398784 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 213398784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321096048).

213398784 is an abundant number, since it is smaller than the sum of its proper divisors (428793312).

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

213398784 is a wasteful number, since it uses less digits than its factorization.

213398784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4055 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 213398784 is about 14608.1752453891. The cubic root of 213398784 is about 597.5817330696.

The spelling of 213398784 in words is "two hundred thirteen million, three hundred ninety-eight thousand, seven hundred eighty-four".