213041664 has 200 divisors, whose sum is σ = 695165328. Its totient is φ = 64419840.

The previous prime is 213041657. The next prime is 213041669. The reversal of 213041664 is 466140312.

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

It is not an unprimeable number, because it can be changed into a prime (213041669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455959 + ... + 456425.

Almost surely, 2^213041664 is an apocalyptic number.

213041664 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 213041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347582664).

213041664 is an abundant number, since it is smaller than the sum of its proper divisors (482123664).

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

213041664 is an equidigital number, since it uses as much as digits as its factorization.

213041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213041664 is about 14595.9468346524. The cubic root of 213041664 is about 597.2481986094.

Adding to 213041664 its reverse (466140312), we get a palindrome (679181976).

The spelling of 213041664 in words is "two hundred thirteen million, forty-one thousand, six hundred sixty-four".