822960 has 100 divisors (see below), whose sum is σ = 2880768. Its totient is φ = 217728.

The previous prime is 822949. The next prime is 822971. The reversal of 822960 is 69228.

It is an interprime number because it is at equal distance from previous prime (822949) and next prime (822971).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6417 + ... + 6543.

2⁸²²⁹⁶⁰ is an apocalyptic number.

822960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440384).

822960 is an abundant number, since it is smaller than the sum of its proper divisors (2057808).

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

822960 is a wasteful number, since it uses less digits than its factorization.

822960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 822960 is about 907.1714281215. The cubic root of 822960 is about 93.7115041949.

The spelling of 822960 in words is "eight hundred twenty-two thousand, nine hundred sixty".