10707648 has 112 divisors (see below), whose sum is σ = 33552384. Its totient is φ = 2949120.

The previous prime is 10707623. The next prime is 10707661. The reversal of 10707648 is 84670701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10707648² = 229307451383808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41536 + ... + 41792.

Almost surely, 2^10707648 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 10707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16776192).

10707648 is an abundant number, since it is smaller than the sum of its proper divisors (22844736).

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

10707648 is a wasteful number, since it uses less digits than its factorization.

10707648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 10707648 is about 3272.2542688489. The cubic root of 10707648 is about 220.4100342049.

The spelling of 10707648 in words is "ten million, seven hundred seven thousand, six hundred forty-eight".