9776564 has 96 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 3497472.

The previous prime is 9776551. The next prime is 9776579. The reversal of 9776564 is 4656779.

9776564 = T₃₁₅ + T₃₁₆ + ... + T₄₄₇.

9776564 = 162² + 163² + ... + 322².

9776564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207989 + ... + 208035.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^9776564 is an apocalyptic number.

9776564 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9776564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

9776564 is an abundant number, since it is smaller than the sum of its proper divisors (13447756).

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

9776564 is a wasteful number, since it uses less digits than its factorization.

9776564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 9776564 is about 3126.7497501399. The cubic root of 9776564 is about 213.8267733747.

The spelling of 9776564 in words is "nine million, seven hundred seventy-six thousand, five hundred sixty-four".