10956144 has 80 divisors (see below), whose sum is σ = 30156800. Its totient is φ = 3421440.

The previous prime is 10956139. The next prime is 10956161. The reversal of 10956144 is 44165901.

It is a happy number.

10956144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54957 + ... + 55155.

It is an arithmetic number, because the mean of its divisors is an integer number (376960).

Almost surely, 2^10956144 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 10956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078400).

10956144 is an abundant number, since it is smaller than the sum of its proper divisors (19200656).

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

10956144 is a wasteful number, since it uses less digits than its factorization.

10956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10956144 is about 3310.0066465190. The cubic root of 10956144 is about 222.1020551793.

The spelling of 10956144 in words is "ten million, nine hundred fifty-six thousand, one hundred forty-four".