11555040 has 192 divisors, whose sum is σ = 44029440. Its totient is φ = 2488320.

The previous prime is 11555029. The next prime is 11555051. The reversal of 11555040 is 4055511.

It is an interprime number because it is at equal distance from previous prime (11555029) and next prime (11555051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11554998 and 11555016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63750 + ... + 63930.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^11555040 is an apocalyptic number.

11555040 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 11555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

11555040 is an abundant number, since it is smaller than the sum of its proper divisors (32474400).

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

11555040 is a wasteful number, since it uses less digits than its factorization.

11555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 11555040 is about 3399.2705099771. The cubic root of 11555040 is about 226.0774005909.

It can be divided in two parts, 115 and 55040, that added together give a palindrome (55155).

The spelling of 11555040 in words is "eleven million, five hundred fifty-five thousand, forty".