868598640 has 480 divisors, whose sum is σ = 3730761216. Its totient is φ = 182891520.

The previous prime is 868598639. The next prime is 868598677. The reversal of 868598640 is 46895868.

It is a happy number.

868598640 is a `hidden beast` number, since 8 + 6 + 8 + 598 + 6 + 40 = 666.

868598640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1768795 + ... + 1769285.

Almost surely, 2^868598640 is an apocalyptic number.

868598640 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 868598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865380608).

868598640 is an abundant number, since it is smaller than the sum of its proper divisors (2862162576).

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

868598640 is a wasteful number, since it uses less digits than its factorization.

868598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 868598640 is about 29471.9975570032. The cubic root of 868598640 is about 954.1274304679.

The spelling of 868598640 in words is "eight hundred sixty-eight million, five hundred ninety-eight thousand, six hundred forty".