223764840 has 192 divisors, whose sum is σ = 791154000. Its totient is φ = 54521856.

The previous prime is 223764833. The next prime is 223764847. The reversal of 223764840 is 48467322.

223764840 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 648 + 4 + 0 = 666.

223764840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223764833) and next prime (223764847).

It can be written as a sum of positive squares in 8 ways, for example, as 89529444 + 134235396 = 9462^2 + 11586^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223764795 and 223764804.

It is not an unprimeable number, because it can be changed into a prime (223764847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 640986 + ... + 641334.

Almost surely, 2^223764840 is an apocalyptic number.

223764840 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 223764840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395577000).

223764840 is an abundant number, since it is smaller than the sum of its proper divisors (567389160).

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

223764840 is a wasteful number, since it uses less digits than its factorization.

223764840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 223764840 is about 14958.7713399196. The cubic root of 223764840 is about 607.1051948824.

The spelling of 223764840 in words is "two hundred twenty-three million, seven hundred sixty-four thousand, eight hundred forty".