97671168 has 144 divisors (see below), whose sum is σ = 322817040. Its totient is φ = 27869184.

The previous prime is 97671151. The next prime is 97671199. The reversal of 97671168 is 86117679.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128646 + ... + 129402.

It is an arithmetic number, because the mean of its divisors is an integer number (2241785).

Almost surely, 2^97671168 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 97671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161408520).

97671168 is an abundant number, since it is smaller than the sum of its proper divisors (225145872).

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

97671168 is a wasteful number, since it uses less digits than its factorization.

97671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 769 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 97671168 is about 9882.8724569328. The cubic root of 97671168 is about 460.5273850457.

The spelling of 97671168 in words is "ninety-seven million, six hundred seventy-one thousand, one hundred sixty-eight".