11205040 has 160 divisors (see below), whose sum is σ = 34712064. Its totient is φ = 3256320.

The previous prime is 11205031. The next prime is 11205059. The reversal of 11205040 is 4050211.

11205040 is a modest number, since divided by 5040 gives 1120 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11205040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104667 + ... + 104773.

Almost surely, 2^11205040 is an apocalyptic number.

11205040 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 11205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356032).

11205040 is an abundant number, since it is smaller than the sum of its proper divisors (23507024).

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

11205040 is a wasteful number, since it uses less digits than its factorization.

11205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11205040 is about 3347.3930154674. The cubic root of 11205040 is about 223.7713440517.

11205040 divided by its product of nonzero digits (40) gives a triangular number (280126 = T₇₄₈).

Adding to 11205040 its reverse (4050211), we get a palindrome (15255251).

The spelling of 11205040 in words is "eleven million, two hundred five thousand, forty".