11029040 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3936000.

The previous prime is 11029033. The next prime is 11029043. The reversal of 11029040 is 4092011.

11029040 = 2³ + 3³ + ... + 81³.

It is a happy number.

It is a Cunningham number, because it is equal to 3321²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (11029043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72965 + ... + 73115.

Almost surely, 2^11029040 is an apocalyptic number.

11029040 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 11029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

11029040 is an abundant number, since it is smaller than the sum of its proper divisors (17469136).

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

11029040 is a wasteful number, since it uses less digits than its factorization.

11029040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11029040 is about 3320.9998494429. Note that the first 3 decimals coincide. The cubic root of 11029040 is about 222.5935473320.

The spelling of 11029040 in words is "eleven million, twenty-nine thousand, forty".