213588648 has 144 divisors (see below), whose sum is σ = 724831380. Its totient is φ = 56318976.

The previous prime is 213588637. The next prime is 213588653. The reversal of 213588648 is 846885312.

213588648 is a `hidden beast` number, since 2 + 1 + 3 + 588 + 64 + 8 = 666.

213588648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179506404 + 34082244 = 13398^2 + 5838^2 .

It is a super-2 number, since 2×213588648² = 91240221108935808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43536 + ... + 48192.

Almost surely, 2^213588648 is an apocalyptic number.

213588648 is a gapful number since it is divisible by the number (28) 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 213588648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362415690).

213588648 is an abundant number, since it is smaller than the sum of its proper divisors (511242732).

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

213588648 is a wasteful number, since it uses less digits than its factorization.

213588648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4682 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 213588648 is about 14614.6723534946. The cubic root of 213588648 is about 597.7589062535.

The spelling of 213588648 in words is "two hundred thirteen million, five hundred eighty-eight thousand, six hundred forty-eight".