975648 has 24 divisors (see below), whose sum is σ = 2561328. Its totient is φ = 325184.

The previous prime is 975643. The next prime is 975649. The reversal of 975648 is 846579.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 975648.

It is not an unprimeable number, because it can be changed into a prime (975643) by changing a digit.

975648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4986 + ... + 5177.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

2⁹⁷⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

975648 is an abundant number, since it is smaller than the sum of its proper divisors (1585680).

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

975648 is a wasteful number, since it uses less digits than its factorization.

975648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176 (or 10168 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 975648 is about 987.7489559600. The cubic root of 975648 is about 99.1815869397.

It can be divided in two parts, 9 and 75648, that added together give a palindrome (75657).

The spelling of 975648 in words is "nine hundred seventy-five thousand, six hundred forty-eight".