806970 has 32 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 209088.

The previous prime is 806951. The next prime is 806977. The reversal of 806970 is 79608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806970.

It is not an unprimeable number, because it can be changed into a prime (806977) by changing a digit.

806970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

2⁸⁰⁶⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

806970 is an abundant number, since it is smaller than the sum of its proper divisors (1184838).

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

806970 is a wasteful number, since it uses less digits than its factorization.

806970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 806970 is about 898.3150894870. The cubic root of 806970 is about 93.1005964313.

The spelling of 806970 in words is "eight hundred six thousand, nine hundred seventy".