868981248 has 120 divisors (see below), whose sum is σ = 2655703908. Its totient is φ = 272596992.

The previous prime is 868981247. The next prime is 868981301. The reversal of 868981248 is 842189868.

It can be written as a sum of positive squares in 2 ways, for example, as 777740544 + 91240704 = 27888^2 + 9552^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 868981194 and 868981203.

It is not an unprimeable number, because it can be changed into a prime (868981247) 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 11 ways as a sum of consecutive naturals, for example, 72790 + ... + 83882.

Almost surely, 2^868981248 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 868981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327851954).

868981248 is an abundant number, since it is smaller than the sum of its proper divisors (1786722660).

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

868981248 is a wasteful number, since it uses less digits than its factorization.

868981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11115 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 868981248 is about 29478.4878852359. The cubic root of 868981248 is about 954.2675040620.

The spelling of 868981248 in words is "eight hundred sixty-eight million, nine hundred eighty-one thousand, two hundred forty-eight".