11711580 has 24 divisors (see below), whose sum is σ = 32792592. Its totient is φ = 3123072.

The previous prime is 11711561. The next prime is 11711587. The reversal of 11711580 is 8511711.

11711580 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11711580² = 274322212192800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11711580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11711587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97537 + ... + 97656.

It is an arithmetic number, because the mean of its divisors is an integer number (1366358).

Almost surely, 2^11711580 is an apocalyptic number.

11711580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11711580 is an abundant number, since it is smaller than the sum of its proper divisors (21081012).

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

11711580 is a wasteful number, since it uses less digits than its factorization.

11711580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195205 (or 195203 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 24.

The square root of 11711580 is about 3422.2185786416. The cubic root of 11711580 is about 227.0937401921.

The spelling of 11711580 in words is "eleven million, seven hundred eleven thousand, five hundred eighty".