213430784 has 160 divisors (see below), whose sum is σ = 537394176. Its totient is φ = 82575360.

The previous prime is 213430771. The next prime is 213430817. The reversal of 213430784 is 487034312.

213430784 = T₆₂ + T₆₃ + ... + T₁₀₈₅.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 213430784.

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, 1888712 + ... + 1888824.

Almost surely, 2^213430784 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 213430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268697088).

213430784 is an abundant number, since it is smaller than the sum of its proper divisors (323963392).

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

213430784 is a wasteful number, since it uses less digits than its factorization.

213430784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 213430784 is about 14609.2704814443. The cubic root of 213430784 is about 597.6116014992.

The spelling of 213430784 in words is "two hundred thirteen million, four hundred thirty thousand, seven hundred eighty-four".