213648340 has 12 divisors (see below), whose sum is σ = 448661556. Its totient is φ = 85459328.

The previous prime is 213648319. The next prime is 213648341. The reversal of 213648340 is 43846312.

It can be written as a sum of positive squares in 2 ways, for example, as 98128836 + 115519504 = 9906^2 + 10748^2 .

It is a super-2 number, since 2×213648340² = 91291226369511200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213648341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5341189 + ... + 5341228.

It is an arithmetic number, because the mean of its divisors is an integer number (37388463).

Almost surely, 2^213648340 is an apocalyptic number.

213648340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213648340 is an abundant number, since it is smaller than the sum of its proper divisors (235013216).

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

213648340 is a wasteful number, since it uses less digits than its factorization.

213648340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682426 (or 10682424 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 213648340 is about 14616.7144050912. The cubic root of 213648340 is about 597.8145866490.

The spelling of 213648340 in words is "two hundred thirteen million, six hundred forty-eight thousand, three hundred forty".