868422240 has 288 divisors, whose sum is σ = 3424389696. Its totient is φ = 196300800.

The previous prime is 868422223. The next prime is 868422287. The reversal of 868422240 is 42224868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 868422195 and 868422204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017654 + ... + 1018506.

It is an arithmetic number, because the mean of its divisors is an integer number (11890242).

Almost surely, 2^868422240 is an apocalyptic number.

868422240 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 868422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712194848).

868422240 is an abundant number, since it is smaller than the sum of its proper divisors (2555967456).

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

868422240 is a wasteful number, since it uses less digits than its factorization.

868422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

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

The square root of 868422240 is about 29469.0047337877. The cubic root of 868422240 is about 954.0628362024.

The spelling of 868422240 in words is "eight hundred sixty-eight million, four hundred twenty-two thousand, two hundred forty".