11881760 has 96 divisors (see below), whose sum is σ = 31534272. Its totient is φ = 4193280.

The previous prime is 11881757. The next prime is 11881769. The reversal of 11881760 is 6718811.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11881769) 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, 75602 + ... + 75758.

It is an arithmetic number, because the mean of its divisors is an integer number (328482).

Almost surely, 2^11881760 is an apocalyptic number.

11881760 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 11881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767136).

11881760 is an abundant number, since it is smaller than the sum of its proper divisors (19652512).

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

11881760 is a wasteful number, since it uses less digits than its factorization.

11881760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 11881760 is about 3446.9928923628. The cubic root of 11881760 is about 228.1884150966.

The spelling of 11881760 in words is "eleven million, eight hundred eighty-one thousand, seven hundred sixty".