975540 has 48 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 255360.

The previous prime is 975523. The next prime is 975551. The reversal of 975540 is 45579.

975540 = T₁₂₉ + T₁₃₀ + ... + T₁₉₉.

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

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 975498 and 975507.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 975540.

It is an unprimeable number.

975540 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4146 + ... + 4374.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2⁹⁷⁵⁵⁴⁰ 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 975540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040).

975540 is an abundant number, since it is smaller than the sum of its proper divisors (1806540).

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

975540 is a wasteful number, since it uses less digits than its factorization.

975540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 975540 is about 987.6942846853. The cubic root of 975540 is about 99.1779271476.

The spelling of 975540 in words is "nine hundred seventy-five thousand, five hundred forty".