11851840 has 224 divisors, whose sum is σ = 38916864. Its totient is φ = 3317760.

The previous prime is 11851813. The next prime is 11851841. The reversal of 11851840 is 4815811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11851840² = 280932222771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11851799 and 11851808.

It is not an unprimeable number, because it can be changed into a prime (11851841) 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, 320302 + ... + 320338.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^11851840 is an apocalyptic number.

11851840 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 11851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

11851840 is an abundant number, since it is smaller than the sum of its proper divisors (27065024).

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

11851840 is a wasteful number, since it uses less digits than its factorization.

11851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 11851840 is about 3442.6501419691. The cubic root of 11851840 is about 227.9967168913.

It can be divided in two parts, 1185 and 1840, that added together give a square (3025 = 55²).

The spelling of 11851840 in words is "eleven million, eight hundred fifty-one thousand, eight hundred forty".