22903968 has 96 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 6967296.

The previous prime is 22903967. The next prime is 22904027. The reversal of 22903968 is 86930922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22903967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52680 + ... + 53112.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^22903968 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 22903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

22903968 is an abundant number, since it is smaller than the sum of its proper divisors (42716832).

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

22903968 is a wasteful number, since it uses less digits than its factorization.

22903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 22903968 is about 4785.8090225165. The cubic root of 22903968 is about 283.9903455027.

It can be divided in two parts, 22903 and 968, that added together give a triangular number (23871 = T₂₁₈).

The spelling of 22903968 in words is "twenty-two million, nine hundred three thousand, nine hundred sixty-eight".