801966 has 32 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 234080.

The previous prime is 801959. The next prime is 801973. The reversal of 801966 is 669108.

It is an interprime number because it is at equal distance from previous prime (801959) and next prime (801973).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1705 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁸⁰¹⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

801966 is an abundant number, since it is smaller than the sum of its proper divisors (1012434).

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

801966 is a wasteful number, since it uses less digits than its factorization.

801966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 801966 is about 895.5255440243. The cubic root of 801966 is about 92.9077591609.

The spelling of 801966 in words is "eight hundred one thousand, nine hundred sixty-six".