868242240 has 560 divisors, whose sum is σ = 3407785920. Its totient is φ = 209018880.

The previous prime is 868242211. The next prime is 868242293. The reversal of 868242240 is 42242868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 868242195 and 868242204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20191659 + ... + 20191701.

It is an arithmetic number, because the mean of its divisors is an integer number (6085332).

Almost surely, 2^868242240 is an apocalyptic number.

868242240 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 868242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703892960).

868242240 is an abundant number, since it is smaller than the sum of its proper divisors (2539543680).

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

868242240 is a wasteful number, since it uses less digits than its factorization.

868242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 868242240 is about 29465.9505192010. The cubic root of 868242240 is about 953.9969146690.

The spelling of 868242240 in words is "eight hundred sixty-eight million, two hundred forty-two thousand, two hundred forty".