872258868 has 240 divisors, whose sum is σ = 2622515280. Its totient is φ = 250822656.

The previous prime is 872258857. The next prime is 872258951. The reversal of 872258868 is 868852278.

It can be written as a sum of positive squares in 8 ways, for example, as 7193124 + 865065744 = 2682^2 + 29412^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4519380 + ... + 4519572.

It is an arithmetic number, because the mean of its divisors is an integer number (10927147).

Almost surely, 2^872258868 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 872258868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311257640).

872258868 is an abundant number, since it is smaller than the sum of its proper divisors (1750256412).

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

872258868 is a wasteful number, since it uses less digits than its factorization.

872258868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 872258868 is about 29534.0289835302. The cubic root of 872258868 is about 955.4657662422.

The spelling of 872258868 in words is "eight hundred seventy-two million, two hundred fifty-eight thousand, eight hundred sixty-eight".