11971080 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 2901120.

The previous prime is 11971079. The next prime is 11971087. The reversal of 11971080 is 8017911.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11971087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2449 + ... + 5471.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^11971080 is an apocalyptic number.

11971080 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 11971080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

11971080 is an abundant number, since it is smaller than the sum of its proper divisors (30485880).

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

11971080 is a wasteful number, since it uses less digits than its factorization.

11971080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 11971080 is about 3459.9248546753. The cubic root of 11971080 is about 228.7587831439.

Adding to 11971080 its reverse (8017911), we get a palindrome (19988991).

The spelling of 11971080 in words is "eleven million, nine hundred seventy-one thousand, eighty".