868980840 has 512 divisors, whose sum is σ = 3530096640. Its totient is φ = 165888000.

The previous prime is 868980839. The next prime is 868980841. The reversal of 868980840 is 48089868.

868980840 is digitally balanced in base 2, 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 (868980839) and next prime (868980841).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (868980841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5754765 + ... + 5754915.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^868980840 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 868980840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

868980840 is an abundant number, since it is smaller than the sum of its proper divisors (2661115800).

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

868980840 is a wasteful number, since it uses less digits than its factorization.

868980840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 868980840 is about 29478.4809649344. The cubic root of 868980840 is about 954.2673547142.

The spelling of 868980840 in words is "eight hundred sixty-eight million, nine hundred eighty thousand, eight hundred forty".