10173968 has 60 divisors (see below), whose sum is σ = 24172560. Its totient is φ = 4124736.

The previous prime is 10173967. The next prime is 10174037. The reversal of 10173968 is 86937101.

It is not an unprimeable number, because it can be changed into a prime (10173967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14555 + ... + 15237.

It is an arithmetic number, because the mean of its divisors is an integer number (402876).

Almost surely, 2^10173968 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 10173968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086280).

10173968 is an abundant number, since it is smaller than the sum of its proper divisors (13998592).

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

10173968 is a wasteful number, since it uses less digits than its factorization.

10173968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 10173968 is about 3189.6658132162. The cubic root of 10173968 is about 216.6856356831.

The spelling of 10173968 in words is "ten million, one hundred seventy-three thousand, nine hundred sixty-eight".