11671560 has 128 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 3052800.

The previous prime is 11671547. The next prime is 11671573. The reversal of 11671560 is 6517611.

It is an interprime number because it is at equal distance from previous prime (11671547) and next prime (11671573).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109027 + ... + 109133.

It is an arithmetic number, because the mean of its divisors is an integer number (309825).

Almost surely, 2^11671560 is an apocalyptic number.

11671560 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 11671560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

11671560 is an abundant number, since it is smaller than the sum of its proper divisors (27986040).

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

11671560 is a wasteful number, since it uses less digits than its factorization.

11671560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11671560 is about 3416.3664908789. The cubic root of 11671560 is about 226.8347753288.

The spelling of 11671560 in words is "eleven million, six hundred seventy-one thousand, five hundred sixty".