11891880 has 384 divisors, whose sum is σ = 53625600. Its totient is φ = 2280960.

The previous prime is 11891833. The next prime is 11891917. The reversal of 11891880 is 8819811.

11891880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 914754 + ... + 914766.

It is an arithmetic number, because the mean of its divisors is an integer number (139650).

Almost surely, 2^11891880 is an apocalyptic number.

11891880 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 11891880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

11891880 is an abundant number, since it is smaller than the sum of its proper divisors (41733720).

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

11891880 is a wasteful number, since it uses less digits than its factorization.

11891880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 11891880 is about 3448.4605260899. The cubic root of 11891880 is about 228.2531813560.

The spelling of 11891880 in words is "eleven million, eight hundred ninety-one thousand, eight hundred eighty".