11927880 has 96 divisors (see below), whose sum is σ = 41067000. Its totient is φ = 2992128.

The previous prime is 11927873. The next prime is 11927891. The reversal of 11927880 is 8872911.

It can be written as a sum of positive squares in 4 ways, for example, as 11655396 + 272484 = 3414^2 + 522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5146 + ... + 7094.

Almost surely, 2^11927880 is an apocalyptic number.

11927880 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 11927880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20533500).

11927880 is an abundant number, since it is smaller than the sum of its proper divisors (29139120).

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

11927880 is a wasteful number, since it uses less digits than its factorization.

11927880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11927880 is about 3453.6763021453. The cubic root of 11927880 is about 228.4832777641.

The spelling of 11927880 in words is "eleven million, nine hundred twenty-seven thousand, eight hundred eighty".