975909040 has 80 divisors (see below), whose sum is σ = 2338546752. Its totient is φ = 378473472.

The previous prime is 975909023. The next prime is 975909059. The reversal of 975909040 is 40909579.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441182 + ... + 1441858.

Almost surely, 2^975909040 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 975909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169273376).

975909040 is an abundant number, since it is smaller than the sum of its proper divisors (1362637712).

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

975909040 is a wasteful number, since it uses less digits than its factorization.

With its successor (975909041) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1208).

975909040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 975909040 is about 31239.5428903817. The cubic root of 975909040 is about 991.9043167771.

The spelling of 975909040 in words is "nine hundred seventy-five million, nine hundred nine thousand, forty".