11851440 has 160 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 2838528.

The previous prime is 11851409. The next prime is 11851447. The reversal of 11851440 is 4415811.

11851440 = 593² + 594² + ... + 624².

11851440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 11851440.

It is not an unprimeable number, because it can be changed into a prime (11851447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104824 + ... + 104936.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^11851440 is an apocalyptic number.

11851440 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 11851440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

11851440 is an abundant number, since it is smaller than the sum of its proper divisors (28860240).

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

11851440 is a wasteful number, since it uses less digits than its factorization.

11851440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 11851440 is about 3442.5920466997. The cubic root of 11851440 is about 227.9941518968.

The spelling of 11851440 in words is "eleven million, eight hundred fifty-one thousand, four hundred forty".