10809648 has 60 divisors (see below), whose sum is σ = 30473248. Its totient is φ = 3576960.

The previous prime is 10809619. The next prime is 10809653. The reversal of 10809648 is 84690801.

It is a happy number.

10809648 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 9 + 648 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38886 + ... + 39162.

Almost surely, 2^10809648 is an apocalyptic number.

10809648 is a gapful number since it is divisible by the number (18) 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 10809648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15236624).

10809648 is an abundant number, since it is smaller than the sum of its proper divisors (19663600).

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

10809648 is a wasteful number, since it uses less digits than its factorization.

10809648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10809648 is about 3287.8029138013. The cubic root of 10809648 is about 221.1076916908.

The spelling of 10809648 in words is "ten million, eight hundred nine thousand, six hundred forty-eight".