11031840 has 144 divisors (see below), whose sum is σ = 38683008. Its totient is φ = 2861568.

The previous prime is 11031821. The next prime is 11031847. The reversal of 11031840 is 4813011.

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 (18).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11031847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67599 + ... + 67761.

It is an arithmetic number, because the mean of its divisors is an integer number (268632).

Almost surely, 2^11031840 is an apocalyptic number.

11031840 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 11031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341504).

11031840 is an abundant number, since it is smaller than the sum of its proper divisors (27651168).

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

11031840 is a wasteful number, since it uses less digits than its factorization.

11031840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11031840 is about 3321.4213824807. The cubic root of 11031840 is about 222.6123827337.

Adding to 11031840 its reverse (4813011), we get a palindrome (15844851).

The spelling of 11031840 in words is "eleven million, thirty-one thousand, eight hundred forty".