866970 has 96 divisors (see below), whose sum is σ = 2635200. Its totient is φ = 202176.

The previous prime is 866969. The next prime is 867001. The reversal of 866970 is 79668.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45621 + ... + 45639.

It is an arithmetic number, because the mean of its divisors is an integer number (27450).

2⁸⁶⁶⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317600).

866970 is an abundant number, since it is smaller than the sum of its proper divisors (1768230).

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

866970 is a wasteful number, since it uses less digits than its factorization.

866970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 866970 is about 931.1122381324. The cubic root of 866970 is about 95.3530721295.

It can be divided in two parts, 86 and 6970, that added together give a square (7056 = 84²).

The spelling of 866970 in words is "eight hundred sixty-six thousand, nine hundred seventy".