10485200 has 60 divisors (see below), whose sum is σ = 27492288. Its totient is φ = 3811200.

The previous prime is 10485199. The next prime is 10485203. The reversal of 10485200 is 258401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485203) 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, 3209 + ... + 5591.

Almost surely, 2^10485200 is an apocalyptic number.

10485200 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 10485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746144).

10485200 is an abundant number, since it is smaller than the sum of its proper divisors (17007088).

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

10485200 is a wasteful number, since it uses less digits than its factorization.

10485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10485200 is about 3238.0858543281. The cubic root of 10485200 is about 218.8730246757.

The spelling of 10485200 in words is "ten million, four hundred eighty-five thousand, two hundred".