11129040 has 240 divisors, whose sum is σ = 42653520. Its totient is φ = 2580480.

The previous prime is 11129021. The next prime is 11129051. The reversal of 11129040 is 4092111.

It can be written as a sum of positive squares in 8 ways, for example, as 2903616 + 8225424 = 1704^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271420 + ... + 271460.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 2^11129040 is an apocalyptic number.

11129040 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 11129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

11129040 is an abundant number, since it is smaller than the sum of its proper divisors (31524480).

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

11129040 is a wasteful number, since it uses less digits than its factorization.

11129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11129040 is about 3336.0215826640. The cubic root of 11129040 is about 223.2642740859.

The spelling of 11129040 in words is "eleven million, one hundred twenty-nine thousand, forty".