97278768 has 60 divisors (see below), whose sum is σ = 274288248. Its totient is φ = 32183040.

The previous prime is 97278763. The next prime is 97278781. The reversal of 97278768 is 86787279.

It is a Cunningham number, because it is equal to 9863²-1.

It is not an unprimeable number, because it can be changed into a prime (97278763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17263 + ... + 22193.

Almost surely, 2^97278768 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 97278768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137144124).

97278768 is an abundant number, since it is smaller than the sum of its proper divisors (177009480).

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

97278768 is a wasteful number, since it uses less digits than its factorization.

97278768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5073 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 97278768 is about 9862.9999493055. Note that the first 4 decimals coincide. The cubic root of 97278768 is about 459.9098247939.

The spelling of 97278768 in words is "ninety-seven million, two hundred seventy-eight thousand, seven hundred sixty-eight".