11681880 has 64 divisors (see below), whose sum is σ = 40055040. Its totient is φ = 2669952.

The previous prime is 11681869. The next prime is 11681881. The reversal of 11681880 is 8818611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6114 + ... + 7793.

It is an arithmetic number, because the mean of its divisors is an integer number (625860).

Almost surely, 2^11681880 is an apocalyptic number.

11681880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11681880 is an abundant number, since it is smaller than the sum of its proper divisors (28373160).

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

11681880 is a wasteful number, since it uses less digits than its factorization.

11681880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 11681880 is about 3417.8765337560. The cubic root of 11681880 is about 226.9016114464.

It can be divided in two parts, 11681 and 880, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 11681880 in words is "eleven million, six hundred eighty-one thousand, eight hundred eighty".