10845648 has 120 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 3187200.

The previous prime is 10845641. The next prime is 10845649. The reversal of 10845648 is 84654801.

10845648 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 5 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10845641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64861 + ... + 65027.

Almost surely, 2^10845648 is an apocalyptic number.

10845648 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 10845648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

10845648 is an abundant number, since it is smaller than the sum of its proper divisors (23277168).

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

10845648 is a wasteful number, since it uses less digits than its factorization.

10845648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 10845648 is about 3293.2731438494. The cubic root of 10845648 is about 221.3528756474.

The spelling of 10845648 in words is "ten million, eight hundred forty-five thousand, six hundred forty-eight".