213435648 has 216 divisors, whose sum is σ = 660686208. Its totient is φ = 68677632.

The previous prime is 213435641. The next prime is 213435661. The reversal of 213435648 is 846534312.

213435648 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213435641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2923740 + ... + 2923812.

Almost surely, 2^213435648 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 213435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330343104).

213435648 is an abundant number, since it is smaller than the sum of its proper divisors (447250560).

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

213435648 is an frugal number, since it uses more digits than its factorization.

213435648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 213435648 is about 14609.4369501360. The cubic root of 213435648 is about 597.6161412392.

The spelling of 213435648 in words is "two hundred thirteen million, four hundred thirty-five thousand, six hundred forty-eight".