11687160 has 96 divisors (see below), whose sum is σ = 37355760. Its totient is φ = 2924544.

The previous prime is 11687131. The next prime is 11687191. The reversal of 11687160 is 6178611.

It is a happy number.

11687160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34512 + ... + 34848.

Almost surely, 2^11687160 is an apocalyptic number.

11687160 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 11687160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677880).

11687160 is an abundant number, since it is smaller than the sum of its proper divisors (25668600).

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

11687160 is a wasteful number, since it uses less digits than its factorization.

11687160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11687160 is about 3418.6488559078. The cubic root of 11687160 is about 226.9357914487.

The spelling of 11687160 in words is "eleven million, six hundred eighty-seven thousand, one hundred sixty".