11859540 has 192 divisors, whose sum is σ = 44126208. Its totient is φ = 2304000.

The previous prime is 11859539. The next prime is 11859541. The reversal of 11859540 is 4595811.

It is an interprime number because it is at equal distance from previous prime (11859539) and next prime (11859541).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11859541) 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 63 ways as a sum of consecutive naturals, for example, 78465 + ... + 78615.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^11859540 is an apocalyptic number.

11859540 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 11859540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

11859540 is an abundant number, since it is smaller than the sum of its proper divisors (32266668).

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

11859540 is a wasteful number, since it uses less digits than its factorization.

11859540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 11859540 is about 3443.7682848879. The cubic root of 11859540 is about 228.0460817906.

The spelling of 11859540 in words is "eleven million, eight hundred fifty-nine thousand, five hundred forty".