11925600 has 72 divisors (see below), whose sum is σ = 38825640. Its totient is φ = 3179520.

The previous prime is 11925593. The next prime is 11925623. The reversal of 11925600 is 652911.

11925600 is digitally balanced in base 2 and base 4, because in such bases 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 a congruent number.

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, 85 + ... + 4884.

It is an arithmetic number, because the mean of its divisors is an integer number (539245).

Almost surely, 2^11925600 is an apocalyptic number.

11925600 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 11925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412820).

11925600 is an abundant number, since it is smaller than the sum of its proper divisors (26900040).

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

11925600 is a wasteful number, since it uses less digits than its factorization.

11925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 11925600 is about 3453.3462033222. The cubic root of 11925600 is about 228.4687187346.

The spelling of 11925600 in words is "eleven million, nine hundred twenty-five thousand, six hundred".