213664960 has 56 divisors (see below), whose sum is σ = 517458960. Its totient is φ = 84009984.

The previous prime is 213664933. The next prime is 213664967. The reversal of 213664960 is 69466312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213664967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13222 + ... + 24538.

Almost surely, 2^213664960 is an apocalyptic number.

213664960 is a gapful number since it is divisible by the number (20) 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 213664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258729480).

213664960 is an abundant number, since it is smaller than the sum of its proper divisors (303794000).

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

213664960 is a wasteful number, since it uses less digits than its factorization.

213664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11393 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 213664960 is about 14617.2829212546. The cubic root of 213664960 is about 597.8300878550.

The spelling of 213664960 in words is "two hundred thirteen million, six hundred sixty-four thousand, nine hundred sixty".