974127168 has 224 divisors, whose sum is σ = 3386937600. Its totient is φ = 268627968.

The previous prime is 974127101. The next prime is 974127181. The reversal of 974127168 is 861721479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349396 + ... + 352172.

Almost surely, 2^974127168 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 974127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693468800).

974127168 is an abundant number, since it is smaller than the sum of its proper divisors (2412810432).

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

974127168 is a wasteful number, since it uses less digits than its factorization.

974127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2818 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 974127168 is about 31211.0103649337. The cubic root of 974127168 is about 991.3002566132.

The spelling of 974127168 in words is "nine hundred seventy-four million, one hundred twenty-seven thousand, one hundred sixty-eight".