975227040 has 216 divisors, whose sum is σ = 3459505140. Its totient is φ = 259780608.

The previous prime is 975227021. The next prime is 975227063. The reversal of 975227040 is 40722579.

975227040 is a `hidden beast` number, since 97 + 522 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 831514896 + 143712144 = 28836^2 + 11988^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 975226986 and 975227004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049296 + ... + 1050224.

Almost surely, 2^975227040 is an apocalyptic number.

975227040 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 975227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729752570).

975227040 is an abundant number, since it is smaller than the sum of its proper divisors (2484278100).

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

975227040 is an frugal number, since it uses more digits than its factorization.

975227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 975227040 is about 31228.6253299757. The cubic root of 975227040 is about 991.6732035756.

The spelling of 975227040 in words is "nine hundred seventy-five million, two hundred twenty-seven thousand, forty".