806958 has 24 divisors (see below), whose sum is σ = 1767168. Its totient is φ = 266112.

The previous prime is 806951. The next prime is 806977. The reversal of 806958 is 859608.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806951) by changing a digit.

806958 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 11 ways as a sum of consecutive naturals, for example, 2110 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (73632).

2⁸⁰⁶⁹⁵⁸ is an apocalyptic number.

806958 is an abundant number, since it is smaller than the sum of its proper divisors (960210).

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

806958 is a wasteful number, since it uses less digits than its factorization.

806958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 806958 is about 898.3084102913. The cubic root of 806958 is about 93.1001349467.

Subtracting 806958 from its reverse (859608), we obtain a triangular number (52650 = T₃₂₄).

It can be divided in two parts, 806 and 958, that added together give a square (1764 = 42²).

The spelling of 806958 in words is "eight hundred six thousand, nine hundred fifty-eight".