868836672 has 224 divisors, whose sum is σ = 2853903360. Its totient is φ = 256919040.

The previous prime is 868836667. The next prime is 868836677. The reversal of 868836672 is 276638868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (868836667) and next prime (868836677).

It is a super-2 number, since 2×868836672² = 1509754325224071168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868836677) 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 31 ways as a sum of consecutive naturals, for example, 816813 + ... + 817875.

It is an arithmetic number, because the mean of its divisors is an integer number (12740640).

Almost surely, 2^868836672 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 868836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426951680).

868836672 is an abundant number, since it is smaller than the sum of its proper divisors (1985066688).

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

868836672 is a wasteful number, since it uses less digits than its factorization.

868836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 868836672 is about 29476.0355543279. The cubic root of 868836672 is about 954.2145793179.

The spelling of 868836672 in words is "eight hundred sixty-eight million, eight hundred thirty-six thousand, six hundred seventy-two".