11717360 has 40 divisors (see below), whose sum is σ = 27453600. Its totient is φ = 4650752.

The previous prime is 11717353. The next prime is 11717393. The reversal of 11717360 is 6371711.

11717360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11429 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (686340).

Almost surely, 2^11717360 is an apocalyptic number.

11717360 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 11717360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726800).

11717360 is an abundant number, since it is smaller than the sum of its proper divisors (15736240).

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

11717360 is a wasteful number, since it uses less digits than its factorization.

11717360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 11717360 is about 3423.0629558920. The cubic root of 11717360 is about 227.1310931351.

It can be divided in two parts, 117 and 17360, that multiplied together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 11717360 in words is "eleven million, seven hundred seventeen thousand, three hundred sixty".