11459840 has 72 divisors (see below), whose sum is σ = 31395840. Its totient is φ = 3926016.

The previous prime is 11459839. The next prime is 11459857. The reversal of 11459840 is 4895411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11459797 and 11459806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8321 + ... + 9599.

Almost surely, 2^11459840 is an apocalyptic number.

11459840 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 11459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697920).

11459840 is an abundant number, since it is smaller than the sum of its proper divisors (19936000).

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

11459840 is an equidigital number, since it uses as much as digits as its factorization.

11459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11459840 is about 3385.2385440320. The cubic root of 11459840 is about 225.4548166364.

The spelling of 11459840 in words is "eleven million, four hundred fifty-nine thousand, eight hundred forty".