11946880 has 64 divisors (see below), whose sum is σ = 31175280. Its totient is φ = 4341760.

The previous prime is 11946853. The next prime is 11946881. The reversal of 11946880 is 8864911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6192 + ... + 7888.

Almost surely, 2^11946880 is an apocalyptic number.

11946880 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 11946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587640).

11946880 is an abundant number, since it is smaller than the sum of its proper divisors (19228400).

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

11946880 is a wasteful number, since it uses less digits than its factorization.

11946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 11946880 is about 3456.4258996831. The cubic root of 11946880 is about 228.6045309201.

The spelling of 11946880 in words is "eleven million, nine hundred forty-six thousand, eight hundred eighty".