10950560 has 48 divisors (see below), whose sum is σ = 26195400. Its totient is φ = 4325376.

The previous prime is 10950529. The next prime is 10950587. The reversal of 10950560 is 6505901.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 4376464 = 2564^2 + 2092^2 .

It is a congruent number.

It is an unprimeable number.

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, 13856 + ... + 14624.

Almost surely, 2^10950560 is an apocalyptic number.

10950560 is a gapful number since it is divisible by the number (10) 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 10950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13097700).

10950560 is an abundant number, since it is smaller than the sum of its proper divisors (15244840).

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

10950560 is an equidigital number, since it uses as much as digits as its factorization.

10950560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 10950560 is about 3309.1630361770. The cubic root of 10950560 is about 222.0643159700.

The spelling of 10950560 in words is "ten million, nine hundred fifty thousand, five hundred sixty".