213500664 has 128 divisors (see below), whose sum is σ = 644448000. Its totient is φ = 65100672.

The previous prime is 213500647. The next prime is 213500681. The reversal of 213500664 is 466005312.

It is an interprime number because it is at equal distance from previous prime (213500647) and next prime (213500681).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390039 + ... + 390585.

It is an arithmetic number, because the mean of its divisors is an integer number (5034750).

Almost surely, 2^213500664 is an apocalyptic number.

213500664 is a gapful number since it is divisible by the number (24) 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 213500664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322224000).

213500664 is an abundant number, since it is smaller than the sum of its proper divisors (430947336).

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

213500664 is a wasteful number, since it uses less digits than its factorization.

213500664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213500664 is about 14611.6619177970. The cubic root of 213500664 is about 597.6768163057.

Adding to 213500664 its reverse (466005312), we get a palindrome (679505976).

The spelling of 213500664 in words is "two hundred thirteen million, five hundred thousand, six hundred sixty-four".