9979264 has 32 divisors (see below), whose sum is σ = 20269440. Its totient is φ = 4892160.

The previous prime is 9979261. The next prime is 9979271. The reversal of 9979264 is 4629799.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 9³ + 9⁷ + 7⁶ + 9⁷ + 2¹⁵ + 6² + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9979261) 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 3 ways as a sum of consecutive naturals, for example, 6049 + ... + 7519.

It is an arithmetic number, because the mean of its divisors is an integer number (633420).

Almost surely, 2^9979264 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 9979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10134720).

9979264 is an abundant number, since it is smaller than the sum of its proper divisors (10290176).

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

9979264 is a wasteful number, since it uses less digits than its factorization.

9979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1526 counting only the distinct ones).

The product of its digits is 244944, while the sum is 46.

The square root of 9979264 is about 3158.9973092739. The cubic root of 9979264 is about 215.2944514290.

It can be divided in two parts, 99792 and 64, that added together give a square (99856 = 316²).

The spelling of 9979264 in words is "nine million, nine hundred seventy-nine thousand, two hundred sixty-four".