213991264 has 96 divisors (see below), whose sum is σ = 463325184. Its totient is φ = 96983040.

The previous prime is 213991247. The next prime is 213991273. The reversal of 213991264 is 462199312.

It is a super-2 number, since 2×213991264² = 91584522136635392, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1893672 + ... + 1893784.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2^213991264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213991264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

213991264 is an abundant number, since it is smaller than the sum of its proper divisors (249333920).

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

213991264 is a wasteful number, since it uses less digits than its factorization.

213991264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 213991264 is about 14628.4402449475. The cubic root of 213991264 is about 598.1342636526.

The spelling of 213991264 in words is "two hundred thirteen million, nine hundred ninety-one thousand, two hundred sixty-four".