11985040 has 40 divisors (see below), whose sum is σ = 28625400. Its totient is φ = 4663296.

The previous prime is 11985037. The next prime is 11985041. The reversal of 11985040 is 4058911.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1948816 + 10036224 = 1396^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11985041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936 + ... + 4984.

It is an arithmetic number, because the mean of its divisors is an integer number (715635).

Almost surely, 2^11985040 is an apocalyptic number.

11985040 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 11985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312700).

11985040 is an abundant number, since it is smaller than the sum of its proper divisors (16640360).

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

11985040 is a wasteful number, since it uses less digits than its factorization.

11985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 11985040 is about 3461.9416517324. The cubic root of 11985040 is about 228.8476704753.

The spelling of 11985040 in words is "eleven million, nine hundred eighty-five thousand, forty".