11625984 has 120 divisors (see below), whose sum is σ = 35641320. Its totient is φ = 3741696.

The previous prime is 11625983. The next prime is 11625997. The reversal of 11625984 is 48952611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11625984 is a `hidden beast` number, since 1 + 1 + 62 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625983) 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, 400882 + ... + 400910.

It is an arithmetic number, because the mean of its divisors is an integer number (297011).

Almost surely, 2^11625984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820660).

11625984 is an abundant number, since it is smaller than the sum of its proper divisors (24015336).

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

11625984 is an frugal number, since it uses more digits than its factorization.

11625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11625984 is about 3409.6897219542. The cubic root of 11625984 is about 226.5391362574.

The spelling of 11625984 in words is "eleven million, six hundred twenty-five thousand, nine hundred eighty-four".