975040 has 56 divisors (see below), whose sum is σ = 2542032. Its totient is φ = 353280.

The previous prime is 975017. The next prime is 975049. The reversal of 975040 is 40579.

975040 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 974996 and 975014.

It is not an unprimeable number, because it can be changed into a prime (975049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3382 + ... + 3658.

2⁹⁷⁵⁰⁴⁰ 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 975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271016).

975040 is an abundant number, since it is smaller than the sum of its proper divisors (1566992).

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

975040 is a wasteful number, since it uses less digits than its factorization.

975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 975040 is about 987.4411374862. The cubic root of 975040 is about 99.1609801445.

The spelling of 975040 in words is "nine hundred seventy-five thousand, forty".