10647712 has 72 divisors (see below), whose sum is σ = 23829876. Its totient is φ = 4663296.

The previous prime is 10647701. The next prime is 10647719. The reversal of 10647712 is 21774601.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 1430416 = 3036^2 + 1196^2 .

It is a super-2 number, since 2×10647712² = 226747541669888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10647719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287758 + ... + 287794.

Almost surely, 2^10647712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10647712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914938).

10647712 is an abundant number, since it is smaller than the sum of its proper divisors (13182164).

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

10647712 is a wasteful number, since it uses less digits than its factorization.

10647712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10647712 is about 3263.0832045781. The cubic root of 10647712 is about 219.9980165110.

The spelling of 10647712 in words is "ten million, six hundred forty-seven thousand, seven hundred twelve".