11959488 has 84 divisors (see below), whose sum is σ = 35595560. Its totient is φ = 3981312.

The previous prime is 11959487. The next prime is 11959489. The reversal of 11959488 is 88495911.

11959488 is a `hidden beast` number, since 119 + 59 + 488 = 666.

11959488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11959487) and next prime (11959489).

It is not an unprimeable number, because it can be changed into a prime (11959481) 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, 15168 + ... + 15936.

Almost surely, 2^11959488 is an apocalyptic number.

11959488 is a gapful number since it is divisible by the number (18) 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 11959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17797780).

11959488 is an abundant number, since it is smaller than the sum of its proper divisors (23636072).

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

11959488 is an frugal number, since it uses more digits than its factorization.

11959488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 11959488 is about 3458.2492680546. The cubic root of 11959488 is about 228.6849210193.

The spelling of 11959488 in words is "eleven million, nine hundred fifty-nine thousand, four hundred eighty-eight".