11258040 has 64 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 2870912.

The previous prime is 11258033. The next prime is 11258041. The reversal of 11258040 is 4085211.

11258040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11257998 and 11258016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11258041) 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, 721 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 2^11258040 is an apocalyptic number.

11258040 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 11258040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

11258040 is an abundant number, since it is smaller than the sum of its proper divisors (23993160).

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

11258040 is a wasteful number, since it uses less digits than its factorization.

11258040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 11258040 is about 3355.3002846243. The cubic root of 11258040 is about 224.1236031268.

The spelling of 11258040 in words is "eleven million, two hundred fifty-eight thousand, forty".