975360 has 80 divisors (see below), whose sum is σ = 3142656. Its totient is φ = 258048.

The previous prime is 975343. The next prime is 975367. The reversal of 975360 is 63579.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (975367) by changing a digit.

975360 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, 7617 + ... + 7743.

2⁹⁷⁵³⁶⁰ 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 975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328).

975360 is an abundant number, since it is smaller than the sum of its proper divisors (2167296).

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

975360 is a wasteful number, since it uses less digits than its factorization.

975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 975360 is about 987.6031591687. The cubic root of 975360 is about 99.1718268937.

The spelling of 975360 in words is "nine hundred seventy-five thousand, three hundred sixty".