213406848 has 144 divisors (see below), whose sum is σ = 653366610. Its totient is φ = 66846720.

The previous prime is 213406847. The next prime is 213406867. The reversal of 213406848 is 848604312.

It can be written as a sum of positive squares in 3 ways, for example, as 209438784 + 3968064 = 14472^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (213406847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332608 + ... + 333248.

Almost surely, 2^213406848 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 213406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326683305).

213406848 is an abundant number, since it is smaller than the sum of its proper divisors (439959762).

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

213406848 is a wasteful number, since it uses less digits than its factorization.

213406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 213406848 is about 14608.4512526140. The cubic root of 213406848 is about 597.5892601953.

The spelling of 213406848 in words is "two hundred thirteen million, four hundred six thousand, eight hundred forty-eight".