10959648 has 96 divisors (see below), whose sum is σ = 33675264. Its totient is φ = 3055872.

The previous prime is 10959643. The next prime is 10959649. The reversal of 10959648 is 84695901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10959648² = 240227768567808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10959643) 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 15 ways as a sum of consecutive naturals, for example, 31411 + ... + 31757.

It is an arithmetic number, because the mean of its divisors is an integer number (350784).

Almost surely, 2^10959648 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 10959648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837632).

10959648 is an abundant number, since it is smaller than the sum of its proper divisors (22715616).

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

10959648 is a wasteful number, since it uses less digits than its factorization.

10959648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 10959648 is about 3310.5359082783. The cubic root of 10959648 is about 222.1257302561.

The spelling of 10959648 in words is "ten million, nine hundred fifty-nine thousand, six hundred forty-eight".