9977264 has 40 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 4473920.

The previous prime is 9977251. The next prime is 9977269. The reversal of 9977264 is 4627799.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 9⁷ + 9⁷ + 7 + 7⁵ + 2¹⁷ + 6⁴ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (9977269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14267 + ... + 14949.

Almost surely, 2^9977264 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 9977264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

9977264 is an abundant number, since it is smaller than the sum of its proper divisors (11396368).

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

9977264 is a wasteful number, since it uses less digits than its factorization.

9977264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The square root of 9977264 is about 3158.6807372699. The cubic root of 9977264 is about 215.2800676804.

The spelling of 9977264 in words is "nine million, nine hundred seventy-seven thousand, two hundred sixty-four".