213604416 has 84 divisors (see below), whose sum is σ = 623899692. Its totient is φ = 69848064.

The previous prime is 213604397. The next prime is 213604429. The reversal of 213604416 is 614406312.

213604416 is a `hidden beast` number, since 2 + 13 + 604 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111513600 + 102090816 = 10560^2 + 10104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213604416.

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, 27030 + ... + 34026.

Almost surely, 2^213604416 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 213604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311949846).

213604416 is an abundant number, since it is smaller than the sum of its proper divisors (410295276).

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

213604416 is a wasteful number, since it uses less digits than its factorization.

213604416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213604416 is about 14615.2118014075. The cubic root of 213604416 is about 597.7736155722.

The spelling of 213604416 in words is "two hundred thirteen million, six hundred four thousand, four hundred sixteen".