967820 has 48 divisors (see below), whose sum is σ = 2408448. Its totient is φ = 319680.

The previous prime is 967819. The next prime is 967823. The reversal of 967820 is 28769.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967820.

It is not an unprimeable number, because it can be changed into a prime (967823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4229 + ... + 4451.

It is an arithmetic number, because the mean of its divisors is an integer number (50176).

2⁹⁶⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204224).

967820 is an abundant number, since it is smaller than the sum of its proper divisors (1440628).

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

967820 is a wasteful number, since it uses less digits than its factorization.

967820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 967820 is about 983.7784303389. The cubic root of 967820 is about 98.9156169715.

The spelling of 967820 in words is "nine hundred sixty-seven thousand, eight hundred twenty".