213893664 has 48 divisors (see below), whose sum is σ = 563526432. Its totient is φ = 71036928.

The previous prime is 213893657. The next prime is 213893683. The reversal of 213893664 is 466398312.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23232 + ... + 31104.

It is an arithmetic number, because the mean of its divisors is an integer number (11740134).

Almost surely, 2^213893664 is an apocalyptic number.

213893664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213893664 is an abundant number, since it is smaller than the sum of its proper divisors (349632768).

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

213893664 is a wasteful number, since it uses less digits than its factorization.

213893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8161 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 213893664 is about 14625.1038970669. The cubic root of 213893664 is about 598.0433147971.

The spelling of 213893664 in words is "two hundred thirteen million, eight hundred ninety-three thousand, six hundred sixty-four".