11625600 has 192 divisors, whose sum is σ = 44015040. Its totient is φ = 2641920.

The previous prime is 11625583. The next prime is 11625619. The reversal of 11625600 is 652611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67114 + ... + 67286.

It is an arithmetic number, because the mean of its divisors is an integer number (229245).

Almost surely, 2^11625600 is an apocalyptic number.

11625600 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 11625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22007520).

11625600 is an abundant number, since it is smaller than the sum of its proper divisors (32389440).

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

11625600 is a wasteful number, since it uses less digits than its factorization.

11625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 11625600 is about 3409.6334113802. The cubic root of 11625600 is about 226.5366420747.

The spelling of 11625600 in words is "eleven million, six hundred twenty-five thousand, six hundred".