10960512 has 128 divisors (see below), whose sum is σ = 32607360. Its totient is φ = 3244032.

The previous prime is 10960507. The next prime is 10960519. The reversal of 10960512 is 21506901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10960519) 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, 150108 + ... + 150180.

It is an arithmetic number, because the mean of its divisors is an integer number (254745).

Almost surely, 2^10960512 is an apocalyptic number.

10960512 is a gapful number since it is divisible by the number (12) 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 10960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303680).

10960512 is an abundant number, since it is smaller than the sum of its proper divisors (21646848).

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

10960512 is a wasteful number, since it uses less digits than its factorization.

10960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 10960512 is about 3310.6663981742. Note that the first 3 decimals coincide. The cubic root of 10960512 is about 222.1315671707.

The spelling of 10960512 in words is "ten million, nine hundred sixty thousand, five hundred twelve".