820716 has 24 divisors (see below), whose sum is σ = 2062704. Its totient is φ = 252480.

The previous prime is 820711. The next prime is 820723. The reversal of 820716 is 617028.

820716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820711) by changing a digit.

820716 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 7 ways as a sum of consecutive naturals, for example, 2475 + ... + 2786.

It is an arithmetic number, because the mean of its divisors is an integer number (85946).

2⁸²⁰⁷¹⁶ is an apocalyptic number.

It is an amenable number.

820716 is an abundant number, since it is smaller than the sum of its proper divisors (1241988).

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

820716 is a wasteful number, since it uses less digits than its factorization.

820716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 820716 is about 905.9337724139. The cubic root of 820716 is about 93.6262509466.

The spelling of 820716 in words is "eight hundred twenty thousand, seven hundred sixteen".