11625936 has 60 divisors (see below), whose sum is σ = 34944192. Its totient is φ = 3321024.

The previous prime is 11625931. The next prime is 11625983. The reversal of 11625936 is 63952611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11625897 and 11625906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120 + ... + 4823.

Almost surely, 2^11625936 is an apocalyptic number.

11625936 is a gapful number since it is divisible by the number (16) 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 11625936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472096).

11625936 is an abundant number, since it is smaller than the sum of its proper divisors (23318256).

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

11625936 is a wasteful number, since it uses less digits than its factorization.

11625936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4955 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 11625936 is about 3409.6826831833. The cubic root of 11625936 is about 226.5388244876.

It can be divided in two parts, 11625 and 936, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 11625936 in words is "eleven million, six hundred twenty-five thousand, nine hundred thirty-six".