11745888 has 144 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 3037440.

The previous prime is 11745887. The next prime is 11745889. The reversal of 11745888 is 88854711.

It is an interprime number because it is at equal distance from previous prime (11745887) and next prime (11745889).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11745887) 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 23 ways as a sum of consecutive naturals, for example, 51631 + ... + 51857.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 2^11745888 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 11745888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952).

11745888 is an abundant number, since it is smaller than the sum of its proper divisors (27554016).

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

11745888 is a wasteful number, since it uses less digits than its factorization.

11745888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its digits is 71680, while the sum is 42.

The square root of 11745888 is about 3427.2274508705. The cubic root of 11745888 is about 227.3152741096.

The spelling of 11745888 in words is "eleven million, seven hundred forty-five thousand, eight hundred eighty-eight".