10845600 has 72 divisors (see below), whose sum is σ = 35310240. Its totient is φ = 2891520.

The previous prime is 10845587. The next prime is 10845641. The reversal of 10845600 is 654801.

10845600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 141 + ... + 4659.

It is an arithmetic number, because the mean of its divisors is an integer number (490420).

Almost surely, 2^10845600 is an apocalyptic number.

10845600 is a gapful number since it is divisible by the number (10) 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 10845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655120).

10845600 is an abundant number, since it is smaller than the sum of its proper divisors (24464640).

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

10845600 is a wasteful number, since it uses less digits than its factorization.

10845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10845600 is about 3293.2658562588. The cubic root of 10845600 is about 221.3525490970.

The spelling of 10845600 in words is "ten million, eight hundred forty-five thousand, six hundred".