11759860 has 48 divisors (see below), whose sum is σ = 29715840. Its totient is φ = 3818880.

The previous prime is 11759857. The next prime is 11759863. The reversal of 11759860 is 6895711.

It is an interprime number because it is at equal distance from previous prime (11759857) and next prime (11759863).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11759863) 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, 450 + ... + 4870.

It is an arithmetic number, because the mean of its divisors is an integer number (619080).

Almost surely, 2^11759860 is an apocalyptic number.

11759860 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 11759860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14857920).

11759860 is an abundant number, since it is smaller than the sum of its proper divisors (17955980).

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

11759860 is a wasteful number, since it uses less digits than its factorization.

11759860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 11759860 is about 3429.2652274212. The cubic root of 11759860 is about 227.4053706187.

The spelling of 11759860 in words is "eleven million, seven hundred fifty-nine thousand, eight hundred sixty".