868388040 has 320 divisors, whose sum is σ = 3210807600. Its totient is φ = 209184768.

The previous prime is 868388021. The next prime is 868388051. The reversal of 868388040 is 40883868.

It can be written as a sum of positive squares in 8 ways, for example, as 195608196 + 672779844 = 13986^2 + 25938^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2232166 + ... + 2232554.

Almost surely, 2^868388040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605403800).

868388040 is an abundant number, since it is smaller than the sum of its proper divisors (2342419560).

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

868388040 is a wasteful number, since it uses less digits than its factorization.

868388040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 868388040 is about 29468.4244573747. The cubic root of 868388040 is about 954.0503118120.

The spelling of 868388040 in words is "eight hundred sixty-eight million, three hundred eighty-eight thousand, forty".