11687760 has 160 divisors (see below), whose sum is σ = 46068480. Its totient is φ = 2668032.

The previous prime is 11687759. The next prime is 11687761. The reversal of 11687760 is 6778611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11687759) and next prime (11687761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11687761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14734 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (287928).

Almost surely, 2^11687760 is an apocalyptic number.

11687760 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 11687760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034240).

11687760 is an abundant number, since it is smaller than the sum of its proper divisors (34380720).

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

11687760 is a wasteful number, since it uses less digits than its factorization.

11687760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 11687760 is about 3418.7366087489. The cubic root of 11687760 is about 226.9396748884.

The spelling of 11687760 in words is "eleven million, six hundred eighty-seven thousand, seven hundred sixty".