10910640 has 120 divisors (see below), whose sum is σ = 36761040. Its totient is φ = 2675712.

The previous prime is 10910639. The next prime is 10910659. The reversal of 10910640 is 4601901.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40426 + ... + 40694.

It is an arithmetic number, because the mean of its divisors is an integer number (306342).

Almost surely, 2^10910640 is an apocalyptic number.

10910640 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 10910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18380520).

10910640 is an abundant number, since it is smaller than the sum of its proper divisors (25850400).

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

10910640 is a wasteful number, since it uses less digits than its factorization.

10910640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10910640 is about 3303.1257923367. The cubic root of 10910640 is about 221.7941440485.

The spelling of 10910640 in words is "ten million, nine hundred ten thousand, six hundred forty".