11936880 has 120 divisors (see below), whose sum is σ = 40912560. Its totient is φ = 3118080.

The previous prime is 11936809. The next prime is 11936909. The reversal of 11936880 is 8863911.

It is a tau number, because it is divible by the number of its divisors (120).

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, 42340 + ... + 42620.

It is an arithmetic number, because the mean of its divisors is an integer number (340938).

Almost surely, 2^11936880 is an apocalyptic number.

11936880 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 11936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456280).

11936880 is an abundant number, since it is smaller than the sum of its proper divisors (28975680).

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

11936880 is a wasteful number, since it uses less digits than its factorization.

11936880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11936880 is about 3454.9790158552. The cubic root of 11936880 is about 228.5407295080.

The spelling of 11936880 in words is "eleven million, nine hundred thirty-six thousand, eight hundred eighty".