922896 has 120 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 258048.

The previous prime is 922861. The next prime is 922897. The reversal of 922896 is 698229.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 810000 = 336^2 + 900^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 922896.

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 922896.

It is not an unprimeable number, because it can be changed into a prime (922897) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31810 + ... + 31838.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁹²²⁸⁹⁶ 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 922896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

922896 is an abundant number, since it is smaller than the sum of its proper divisors (2123784).

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

922896 is a wasteful number, since it uses less digits than its factorization.

922896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 922896 is about 960.6747628620. The cubic root of 922896 is about 97.3608270781.

The spelling of 922896 in words is "nine hundred twenty-two thousand, eight hundred ninety-six".