11742660 has 72 divisors (see below), whose sum is σ = 36068760. Its totient is φ = 3091968.

The previous prime is 11742659. The next prime is 11742667. The reversal of 11742660 is 6624711.

11742660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 9290304 = 1566^2 + 3048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742667) 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, 15654 + ... + 16386.

It is an arithmetic number, because the mean of its divisors is an integer number (500955).

Almost surely, 2^11742660 is an apocalyptic number.

11742660 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 11742660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034380).

11742660 is an abundant number, since it is smaller than the sum of its proper divisors (24326100).

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

11742660 is a wasteful number, since it uses less digits than its factorization.

11742660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11742660 is about 3426.7564839072. The cubic root of 11742660 is about 227.2944486391.

It can be divided in two parts, 117 and 42660, that multiplied together give a triangular number (4991220 = T₃₁₅₉).

The spelling of 11742660 in words is "eleven million, seven hundred forty-two thousand, six hundred sixty".