11557040 has 80 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 4012800.

The previous prime is 11557037. The next prime is 11557057. The reversal of 11557040 is 4075511.

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

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 11556997 and 11557015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19955 + ... + 20525.

Almost surely, 2^11557040 is an apocalyptic number.

11557040 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 11557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

11557040 is an abundant number, since it is smaller than the sum of its proper divisors (19083856).

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

11557040 is a wasteful number, since it uses less digits than its factorization.

11557040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 11557040 is about 3399.5646780139. The cubic root of 11557040 is about 226.0904433473.

The spelling of 11557040 in words is "eleven million, five hundred fifty-seven thousand, forty".