97752768 has 56 divisors (see below), whose sum is σ = 261201408. Its totient is φ = 32261376.

The previous prime is 97752761. The next prime is 97752773. The reversal of 97752768 is 86725779.

It is a Cunningham number, because it is equal to 9887²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 97752768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97752761) 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 7 ways as a sum of consecutive naturals, for example, 17305 + ... + 22247.

Almost surely, 2^97752768 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 97752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130600704).

97752768 is an abundant number, since it is smaller than the sum of its proper divisors (163448640).

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

97752768 is a wasteful number, since it uses less digits than its factorization.

97752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5051 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 97752768 is about 9886.9999494285. Note that the first 4 decimals coincide. The cubic root of 97752768 is about 460.6555995265.

The spelling of 97752768 in words is "ninety-seven million, seven hundred fifty-two thousand, seven hundred sixty-eight".