10916560 has 40 divisors (see below), whose sum is σ = 25808616. Its totient is φ = 4293120.

The previous prime is 10916551. The next prime is 10916561. The reversal of 10916560 is 6561901.

It can be written as a sum of positive squares in 4 ways, for example, as 341056 + 10575504 = 584^2 + 3252^2 .

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

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10916561) 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, 3762 + ... + 5998.

Almost surely, 2^10916560 is an apocalyptic number.

10916560 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 10916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904308).

10916560 is an abundant number, since it is smaller than the sum of its proper divisors (14892056).

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

10916560 is a wasteful number, since it uses less digits than its factorization.

10916560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 10916560 is about 3304.0217916957. The cubic root of 10916560 is about 221.8342511955.

It can be divided in two parts, 10916 and 560, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 10916560 in words is "ten million, nine hundred sixteen thousand, five hundred sixty".