868523040 has 576 divisors, whose sum is σ = 3867937920. Its totient is φ = 179988480.

The previous prime is 868523027. The next prime is 868523069. The reversal of 868523040 is 40325868.

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 = 868522986 and 868523004.

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, 2328294 + ... + 2328666.

It is an arithmetic number, because the mean of its divisors is an integer number (6715170).

Almost surely, 2^868523040 is an apocalyptic number.

868523040 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 868523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933968960).

868523040 is an abundant number, since it is smaller than the sum of its proper divisors (2999414880).

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

868523040 is a wasteful number, since it uses less digits than its factorization.

868523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 868523040 is about 29470.7149556980. The cubic root of 868523040 is about 954.0997482822.

The spelling of 868523040 in words is "eight hundred sixty-eight million, five hundred twenty-three thousand, forty".