975168240 has 80 divisors (see below), whose sum is σ = 3120562176. Its totient is φ = 251654400.

The previous prime is 975168221. The next prime is 975168247. The reversal of 975168240 is 42861579.

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

It is a junction number, because it is equal to n+sod(n) for n = 975168192 and 975168201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975168247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58096 + ... + 72975.

Almost surely, 2^975168240 is an apocalyptic number.

It is an amenable number.

975168240 is an abundant number, since it is smaller than the sum of its proper divisors (2145393936).

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

975168240 is a wasteful number, since it uses less digits than its factorization.

975168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131118 (or 131112 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 975168240 is about 31227.6838718468. The cubic root of 975168240 is about 991.6532726419.

The spelling of 975168240 in words is "nine hundred seventy-five million, one hundred sixty-eight thousand, two hundred forty".