10916640 has 288 divisors, whose sum is σ = 46085760. Its totient is φ = 2363904.

The previous prime is 10916627. The next prime is 10916641. The reversal of 10916640 is 4661901.

10916640 is a `hidden beast` number, since 1 + 0 + 9 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10916641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574551 + ... + 574569.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^10916640 is an apocalyptic number.

10916640 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 10916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

10916640 is an abundant number, since it is smaller than the sum of its proper divisors (35169120).

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

10916640 is a wasteful number, since it uses less digits than its factorization.

10916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

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

The square root of 10916640 is about 3304.0338981312. The cubic root of 10916640 is about 221.8347930847.

The spelling of 10916640 in words is "ten million, nine hundred sixteen thousand, six hundred forty".