9766768 has 40 divisors (see below), whose sum is σ = 20820096. Its totient is φ = 4401600.

The previous prime is 9766763. The next prime is 9766781. The reversal of 9766768 is 8676679.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37005 + ... + 37267.

Almost surely, 2^9766768 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 9766768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10410048).

9766768 is an abundant number, since it is smaller than the sum of its proper divisors (11053328).

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

9766768 is a wasteful number, since it uses less digits than its factorization.

9766768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its digits is 762048, while the sum is 49.

The square root of 9766768 is about 3125.1828746491. The cubic root of 9766768 is about 213.7553322200.

It can be divided in two parts, 976 and 6768, that added together give a square (7744 = 88²).

The spelling of 9766768 in words is "nine million, seven hundred sixty-six thousand, seven hundred sixty-eight".