868461280 has 96 divisors (see below), whose sum is σ = 2128508928. Its totient is φ = 334502400.

The previous prime is 868461277. The next prime is 868461283. The reversal of 868461280 is 82164868.

868461280 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 (868461277) and next prime (868461283).

It is a super-3 number, since 3×868461280³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868461283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542279 + ... + 1542841.

It is an arithmetic number, because the mean of its divisors is an integer number (22171968).

Almost surely, 2^868461280 is an apocalyptic number.

868461280 is a gapful number since it is divisible by the number (80) 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 868461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064254464).

868461280 is an abundant number, since it is smaller than the sum of its proper divisors (1260047648).

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

868461280 is a wasteful number, since it uses less digits than its factorization.

868461280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 868461280 is about 29469.6671172241. The cubic root of 868461280 is about 954.0771326484.

The spelling of 868461280 in words is "eight hundred sixty-eight million, four hundred sixty-one thousand, two hundred eighty".