10848400 has 60 divisors (see below), whose sum is σ = 26804212. Its totient is φ = 4216320.

The previous prime is 10848391. The next prime is 10848403. The reversal of 10848400 is 484801.

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 9168784 = 1296^2 + 3028^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10848403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14434 + ... + 15166.

Almost surely, 2^10848400 is an apocalyptic number.

10848400 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 10848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402106).

10848400 is an abundant number, since it is smaller than the sum of its proper divisors (15955812).

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

10848400 is a wasteful number, since it uses less digits than its factorization.

10848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10848400 is about 3293.6909387494. The cubic root of 10848400 is about 221.3715962623.

The spelling of 10848400 in words is "ten million, eight hundred forty-eight thousand, four hundred".