10956880 has 40 divisors (see below), whose sum is σ = 27792864. Its totient is φ = 3984000.

The previous prime is 10956877. The next prime is 10956887. The reversal of 10956880 is 8865901.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10956887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5346 + ... + 7105.

Almost surely, 2^10956880 is an apocalyptic number.

10956880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10956880 is an abundant number, since it is smaller than the sum of its proper divisors (16835984).

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

10956880 is a wasteful number, since it uses less digits than its factorization.

10956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12475 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 10956880 is about 3310.1178226764. The cubic root of 10956880 is about 222.1070284452.

The spelling of 10956880 in words is "ten million, nine hundred fifty-six thousand, eight hundred eighty".