22896 has 40 divisors (see below), whose sum is σ = 66960. Its totient is φ = 7488.

The previous prime is 22877. The next prime is 22901. The reversal of 22896 is 69822.

22896 is nontrivially palindromic in base 15.

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

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

It is a congruent number.

It is an unprimeable number.

22896 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 406 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

2²²⁸⁹⁶ is an apocalyptic number.

22896 is the 96-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

22896 is an abundant number, since it is smaller than the sum of its proper divisors (44064).

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

22896 is a wasteful number, since it uses less digits than its factorization.

22896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

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

The square root of 22896 is about 151.3142425550. The cubic root of 22896 is about 28.3957409470.

22896 divided by its sum of digits (27) gives a palindrome (848).

It can be divided in two parts, 228 and 96, that added together give a square (324 = 18²).

The spelling of 22896 in words is "twenty-two thousand, eight hundred ninety-six".