866397120 has 112 divisors (see below), whose sum is σ = 2870484480. Its totient is φ = 220988416.

The previous prime is 866397041. The next prime is 866397149. The reversal of 866397120 is 21793668.

It is a happy number.

It is a congruent number.

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, 2461 + ... + 41699.

Almost surely, 2^866397120 is an apocalyptic number.

866397120 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 866397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435242240).

866397120 is an abundant number, since it is smaller than the sum of its proper divisors (2004087360).

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

866397120 is a wasteful number, since it uses less digits than its factorization.

866397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39282 (or 39272 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 866397120 is about 29434.6245092408. The cubic root of 866397120 is about 953.3206490344.

The spelling of 866397120 in words is "eight hundred sixty-six million, three hundred ninety-seven thousand, one hundred twenty".