10945680 has 80 divisors (see below), whose sum is σ = 34551360. Its totient is φ = 2865664.

The previous prime is 10945679. The next prime is 10945699. The reversal of 10945680 is 8654901.

It is a tau number, because it is divible by the number of its divisors (80).

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, 13774 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (431892).

Almost surely, 2^10945680 is an apocalyptic number.

10945680 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 10945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275680).

10945680 is an abundant number, since it is smaller than the sum of its proper divisors (23605680).

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

10945680 is a wasteful number, since it uses less digits than its factorization.

10945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10945680 is about 3308.4256074453. The cubic root of 10945680 is about 222.0313242059.

The spelling of 10945680 in words is "ten million, nine hundred forty-five thousand, six hundred eighty".