10774656 has 96 divisors (see below), whose sum is σ = 31824000. Its totient is φ = 3497472.

The previous prime is 10774627. The next prime is 10774657. The reversal of 10774656 is 65647701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10774656.

It is not an unprimeable number, because it can be changed into a prime (10774657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54045 + ... + 54243.

It is an arithmetic number, because the mean of its divisors is an integer number (331500).

Almost surely, 2^10774656 is an apocalyptic number.

10774656 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 10774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912000).

10774656 is an abundant number, since it is smaller than the sum of its proper divisors (21049344).

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

10774656 is a wasteful number, since it uses less digits than its factorization.

10774656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 10774656 is about 3282.4771134008. The cubic root of 10774656 is about 220.8688506142.

The spelling of 10774656 in words is "ten million, seven hundred seventy-four thousand, six hundred fifty-six".