11487960 has 128 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 2782080.

The previous prime is 11487941. The next prime is 11487967. The reversal of 11487960 is 6978411.

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 (11487967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11397 + ... + 12363.

It is an arithmetic number, because the mean of its divisors is an integer number (326700).

Almost surely, 2^11487960 is an apocalyptic number.

11487960 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 11487960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

11487960 is an abundant number, since it is smaller than the sum of its proper divisors (30329640).

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

11487960 is a wasteful number, since it uses less digits than its factorization.

11487960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11487960 is about 3389.3893255275. The cubic root of 11487960 is about 225.6390720013.

The spelling of 11487960 in words is "eleven million, four hundred eighty-seven thousand, nine hundred sixty".