806964 has 12 divisors (see below), whose sum is σ = 1882944. Its totient is φ = 268984.

The previous prime is 806951. The next prime is 806977. The reversal of 806964 is 469608.

It is an interprime number because it is at equal distance from previous prime (806951) and next prime (806977).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33612 + ... + 33635.

It is an arithmetic number, because the mean of its divisors is an integer number (156912).

2⁸⁰⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

806964 is an abundant number, since it is smaller than the sum of its proper divisors (1075980).

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

806964 is a wasteful number, since it uses less digits than its factorization.

806964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67254 (or 67252 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 806964 is about 898.3117498953. The cubic root of 806964 is about 93.1003656895.

It can be divided in two parts, 806 and 964, that added together give a triangular number (1770 = T₅₉).

The spelling of 806964 in words is "eight hundred six thousand, nine hundred sixty-four".