11825600 has 84 divisors (see below), whose sum is σ = 30708600. Its totient is φ = 4469760.

The previous prime is 11825599. The next prime is 11825609. The reversal of 11825600 is 652811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825609) 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, 30206 + ... + 30594.

Almost surely, 2^11825600 is an apocalyptic number.

11825600 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 11825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354300).

11825600 is an abundant number, since it is smaller than the sum of its proper divisors (18883000).

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

11825600 is a wasteful number, since it uses less digits than its factorization.

11825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 11825600 is about 3438.8370127123. The cubic root of 11825600 is about 227.8283308157.

The spelling of 11825600 in words is "eleven million, eight hundred twenty-five thousand, six hundred".