11259840 has 112 divisors (see below), whose sum is σ = 36832032. Its totient is φ = 2912256.

The previous prime is 11259827. The next prime is 11259841. The reversal of 11259840 is 4895211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11259798 and 11259807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11259841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35362 + ... + 35678.

Almost surely, 2^11259840 is an apocalyptic number.

11259840 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 11259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416016).

11259840 is an abundant number, since it is smaller than the sum of its proper divisors (25572192).

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

11259840 is a wasteful number, since it uses less digits than its factorization.

11259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 11259840 is about 3355.5685062296. The cubic root of 11259840 is about 224.1355472126.

The spelling of 11259840 in words is "eleven million, two hundred fifty-nine thousand, eight hundred forty".