866743040 has 144 divisors (see below), whose sum is σ = 2207520000. Its totient is φ = 325349376.

The previous prime is 866743013. The next prime is 866743051. The reversal of 866743040 is 40347668.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 866742985 and 866743003.

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 15 ways as a sum of consecutive naturals, for example, 1736711 + ... + 1737209.

It is an arithmetic number, because the mean of its divisors is an integer number (15330000).

Almost surely, 2^866743040 is an apocalyptic number.

866743040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 29440×29441.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103760000).

866743040 is an abundant number, since it is smaller than the sum of its proper divisors (1340776960).

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

866743040 is a wasteful number, since it uses less digits than its factorization.

866743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 866743040 is about 29440.4999957541. The cubic root of 866743040 is about 953.4475072585.

The spelling of 866743040 in words is "eight hundred sixty-six million, seven hundred forty-three thousand, forty".