10960416 has 72 divisors (see below), whose sum is σ = 32825520. Its totient is φ = 3459456.

The previous prime is 10960387. The next prime is 10960423. The reversal of 10960416 is 61406901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10960416.

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 11 ways as a sum of consecutive naturals, for example, 4471 + ... + 6473.

It is an arithmetic number, because the mean of its divisors is an integer number (455910).

Almost surely, 2^10960416 is an apocalyptic number.

10960416 is a gapful number since it is divisible by the number (16) 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 10960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412760).

10960416 is an abundant number, since it is smaller than the sum of its proper divisors (21865104).

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

10960416 is a wasteful number, since it uses less digits than its factorization.

10960416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10960416 is about 3310.6518995509. The cubic root of 10960416 is about 222.1309186397.

The spelling of 10960416 in words is "ten million, nine hundred sixty thousand, four hundred sixteen".