213086848 has 64 divisors (see below), whose sum is σ = 469654920. Its totient is φ = 95662080.

The previous prime is 213086773. The next prime is 213086851. The reversal of 213086848 is 848680312.

It can be written as a sum of positive squares in 4 ways, for example, as 159971904 + 53114944 = 12648^2 + 7288^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 213086848.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59838 + ... + 63298.

Almost surely, 2^213086848 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 213086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234827460).

213086848 is an abundant number, since it is smaller than the sum of its proper divisors (256568072).

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

213086848 is a wasteful number, since it uses less digits than its factorization.

213086848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 213086848 is about 14597.4945795503. The cubic root of 213086848 is about 597.2904190754.

The spelling of 213086848 in words is "two hundred thirteen million, eighty-six thousand, eight hundred forty-eight".