10323968 has 36 divisors (see below), whose sum is σ = 20937735. Its totient is φ = 5089280.

The previous prime is 10323967. The next prime is 10323983. The reversal of 10323968 is 86932301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5161984 + 5161984 = 2272^2 + 2272^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2272.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10323967) 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 2 ways as a sum of consecutive naturals, for example, 145373 + ... + 145443.

Almost surely, 2^10323968 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 10323968

10323968 is an abundant number, since it is smaller than the sum of its proper divisors (10613767).

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

10323968 is an frugal number, since it uses more digits than its factorization.

10323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 10323968 is about 3213.0932137117. The cubic root of 10323968 is about 217.7453469532.

Multiplying 10323968 by its sum of digits (32), we get a square (330366976 = 18176²).

10323968 divided by its sum of digits (32) gives a square (322624 = 568²).

The spelling of 10323968 in words is "ten million, three hundred twenty-three thousand, nine hundred sixty-eight".