11859840 has 192 divisors, whose sum is σ = 42962400. Its totient is φ = 3010560.

The previous prime is 11859833. The next prime is 11859847. The reversal of 11859840 is 4895811.

11859840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11859833) and next prime (11859847).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11859795 and 11859804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11859847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167005 + ... + 167075.

Almost surely, 2^11859840 is an apocalyptic number.

11859840 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 11859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

11859840 is an abundant number, since it is smaller than the sum of its proper divisors (31102560).

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

11859840 is a wasteful number, since it uses less digits than its factorization.

11859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11859840 is about 3443.8118415500. The cubic root of 11859840 is about 228.0480046658.

It can be divided in two parts, 1185 and 9840, that added together give a square (11025 = 105²).

The spelling of 11859840 in words is "eleven million, eight hundred fifty-nine thousand, eight hundred forty".