975016224 has 192 divisors, whose sum is σ = 3500340480. Its totient is φ = 257126400.

The previous prime is 975016223. The next prime is 975016261. The reversal of 975016224 is 422610579.

975016224 is a `hidden beast` number, since 97 + 501 + 62 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (975016223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72424 + ... + 84824.

It is an arithmetic number, because the mean of its divisors is an integer number (18230940).

Almost surely, 2^975016224 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 975016224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750170240).

975016224 is an abundant number, since it is smaller than the sum of its proper divisors (2525324256).

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

975016224 is a wasteful number, since it uses less digits than its factorization.

975016224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12440 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 975016224 is about 31225.2497828280. The cubic root of 975016224 is about 991.6017413637.

The spelling of 975016224 in words is "nine hundred seventy-five million, sixteen thousand, two hundred twenty-four".