11388960 has 144 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 2757120.

The previous prime is 11388959. The next prime is 11388983. The reversal of 11388960 is 6988311.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15481 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^11388960 is an apocalyptic number.

11388960 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 11388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

11388960 is an abundant number, since it is smaller than the sum of its proper divisors (31068000).

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

11388960 is a wasteful number, since it uses less digits than its factorization.

11388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11388960 is about 3374.7533243187. The cubic root of 11388960 is about 224.9890365028.

The spelling of 11388960 in words is "eleven million, three hundred eighty-eight thousand, nine hundred sixty".