975850240 has 72 divisors (see below), whose sum is σ = 2412966528. Its totient is φ = 377733120.

The previous prime is 975850229. The next prime is 975850273. The reversal of 975850240 is 42058579.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 975850193 and 975850202.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 27384 + ... + 51976.

It is an arithmetic number, because the mean of its divisors is an integer number (33513424).

Almost surely, 2^975850240 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 975850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206483264).

975850240 is an abundant number, since it is smaller than the sum of its proper divisors (1437116288).

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

975850240 is a wasteful number, since it uses less digits than its factorization.

975850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24645 (or 24631 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 975850240 is about 31238.6017612825. The cubic root of 975850240 is about 991.8843951304.

The spelling of 975850240 in words is "nine hundred seventy-five million, eight hundred fifty thousand, two hundred forty".