11855040 has 112 divisors (see below), whose sum is σ = 38514528. Its totient is φ = 3088384.

The previous prime is 11855033. The next prime is 11855111. The reversal of 11855040 is 4055811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11855040.

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, 50764 + ... + 50996.

Almost surely, 2^11855040 is an apocalyptic number.

11855040 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 11855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257264).

11855040 is an abundant number, since it is smaller than the sum of its proper divisors (26659488).

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

11855040 is a wasteful number, since it uses less digits than its factorization.

11855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 11855040 is about 3443.1148688361. The cubic root of 11855040 is about 228.0172347698.

The spelling of 11855040 in words is "eleven million, eight hundred fifty-five thousand, forty".