11687480 has 96 divisors (see below), whose sum is σ = 31395600. Its totient is φ = 3902976.

The previous prime is 11687471. The next prime is 11687491. The reversal of 11687480 is 8478611.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11687480.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 131276 + ... + 131364.

Almost surely, 2^11687480 is an apocalyptic number.

11687480 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 11687480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697800).

11687480 is an abundant number, since it is smaller than the sum of its proper divisors (19708120).

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

11687480 is a wasteful number, since it uses less digits than its factorization.

11687480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 11687480 is about 3418.6956577034. The cubic root of 11687480 is about 226.9378626331.

It can be divided in two parts, 11687 and 480, that added together give a cube (12167 = 23³).

The spelling of 11687480 in words is "eleven million, six hundred eighty-seven thousand, four hundred eighty".