868440960 has 256 divisors, whose sum is σ = 3183624000. Its totient is φ = 223469568.

The previous prime is 868440953. The next prime is 868441019. The reversal of 868440960 is 69044868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500254 + ... + 501986.

Almost surely, 2^868440960 is an apocalyptic number.

868440960 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 868440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591812000).

868440960 is an abundant number, since it is smaller than the sum of its proper divisors (2315183040).

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

868440960 is a wasteful number, since it uses less digits than its factorization.

868440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 868440960 is about 29469.3223539327. The cubic root of 868440960 is about 954.0696915189.

The spelling of 868440960 in words is "eight hundred sixty-eight million, four hundred forty thousand, nine hundred sixty".