10605648 has 80 divisors (see below), whose sum is σ = 29908800. Its totient is φ = 3225600.

The previous prime is 10605607. The next prime is 10605697. The reversal of 10605648 is 84650601.

It is a super-2 number, since 2×10605648² = 224959538999808, which contains 22 as substring.

It is a congruent number.

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, 26248 + ... + 26648.

It is an arithmetic number, because the mean of its divisors is an integer number (373860).

Almost surely, 2^10605648 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 10605648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954400).

10605648 is an abundant number, since it is smaller than the sum of its proper divisors (19303152).

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

10605648 is a wasteful number, since it uses less digits than its factorization.

10605648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10605648 is about 3256.6313884135. The cubic root of 10605648 is about 219.7079319866.

The spelling of 10605648 in words is "ten million, six hundred five thousand, six hundred forty-eight".