9777664 has 60 divisors (see below), whose sum is σ = 21341826. Its totient is φ = 4472832.

The previous prime is 9777661. The next prime is 9777671. The reversal of 9777664 is 4667779.

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 7840000 = 1392^2 + 2800^2 .

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9777661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86472 + ... + 86584.

Almost surely, 2^9777664 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 9777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10670913).

9777664 is an abundant number, since it is smaller than the sum of its proper divisors (11564162).

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

9777664 is a wasteful number, since it uses less digits than its factorization.

9777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its digits is 444528, while the sum is 46.

The square root of 9777664 is about 3126.9256467016. The cubic root of 9777664 is about 213.8347925735.

The spelling of 9777664 in words is "nine million, seven hundred seventy-seven thousand, six hundred sixty-four".