97795968 has 128 divisors (see below), whose sum is σ = 280247040. Its totient is φ = 30105600.

The previous prime is 97795939. The next prime is 97795987. The reversal of 97795968 is 86959779.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463383 + ... + 463593.

It is an arithmetic number, because the mean of its divisors is an integer number (2189430).

Almost surely, 2^97795968 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 97795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140123520).

97795968 is an abundant number, since it is smaller than the sum of its proper divisors (182451072).

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

97795968 is a wasteful number, since it uses less digits than its factorization.

97795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 60.

The square root of 97795968 is about 9889.1843950854. The cubic root of 97795968 is about 460.7234488962.

It can be divided in two parts, 9 and 7795968, that added together give a palindrome (7795977).

The spelling of 97795968 in words is "ninety-seven million, seven hundred ninety-five thousand, nine hundred sixty-eight".