11235040 has 96 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 4139520.

The previous prime is 11235019. The next prime is 11235043. The reversal of 11235040 is 4053211.

It is a super-2 number, since 2×11235040² = 252452247603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11235043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158205 + ... + 158275.

It is an arithmetic number, because the mean of its divisors is an integer number (299376).

Almost surely, 2^11235040 is an apocalyptic number.

11235040 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 11235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

11235040 is an abundant number, since it is smaller than the sum of its proper divisors (17505056).

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

11235040 is a wasteful number, since it uses less digits than its factorization.

11235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 11235040 is about 3351.8711192407. The cubic root of 11235040 is about 223.9708720628.

Adding to 11235040 its reverse (4053211), we get a palindrome (15288251).

The spelling of 11235040 in words is "eleven million, two hundred thirty-five thousand, forty".