223520864 has 96 divisors (see below), whose sum is σ = 547948800. Its totient is φ = 87575040.

The previous prime is 223520863. The next prime is 223520873. The reversal of 223520864 is 468025322.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 223520864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223520863) 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 15 ways as a sum of consecutive naturals, for example, 122519 + ... + 124329.

It is an arithmetic number, because the mean of its divisors is an integer number (5707800).

Almost surely, 2^223520864 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 223520864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273974400).

223520864 is an abundant number, since it is smaller than the sum of its proper divisors (324427936).

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

223520864 is a wasteful number, since it uses less digits than its factorization.

223520864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 223520864 is about 14950.6141679865. The cubic root of 223520864 is about 606.8844676788.

The spelling of 223520864 in words is "two hundred twenty-three million, five hundred twenty thousand, eight hundred sixty-four".