975240 has 160 divisors (see below), whose sum is σ = 3833280. Its totient is φ = 217728.

The previous prime is 975217. The next prime is 975257. The reversal of 975240 is 42579.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

975240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22659 + ... + 22701.

It is an arithmetic number, because the mean of its divisors is an integer number (23958).

2⁹⁷⁵²⁴⁰ is an apocalyptic number.

975240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916640).

975240 is an abundant number, since it is smaller than the sum of its proper divisors (2858040).

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

975240 is a wasteful number, since it uses less digits than its factorization.

975240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 975240 is about 987.5424041529. The cubic root of 975240 is about 99.1677596408.

The spelling of 975240 in words is "nine hundred seventy-five thousand, two hundred forty".