975753216 has 260 divisors, whose sum is σ = 3104159652. Its totient is φ = 304349184.

The previous prime is 975753211. The next prime is 975753239. The reversal of 975753216 is 612357579.

It can be written as a sum of positive squares in 2 ways, for example, as 829440000 + 146313216 = 28800^2 + 12096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975753211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5640106 + ... + 5640278.

Almost surely, 2^975753216 is an apocalyptic number.

975753216 is a gapful number since it is divisible by the number (96) 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 975753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552079826).

975753216 is an abundant number, since it is smaller than the sum of its proper divisors (2128406436).

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

975753216 is a wasteful number, since it uses less digits than its factorization.

975753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 975753216 is about 31237.0487722512. The cubic root of 975753216 is about 991.8515213084.

The spelling of 975753216 in words is "nine hundred seventy-five million, seven hundred fifty-three thousand, two hundred sixteen".