11946080 has 48 divisors (see below), whose sum is σ = 28440720. Its totient is φ = 4741632.

The previous prime is 11946059. The next prime is 11946089. The reversal of 11946080 is 8064911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946089) 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, 31331 + ... + 31709.

It is an arithmetic number, because the mean of its divisors is an integer number (592515).

Almost surely, 2^11946080 is an apocalyptic number.

11946080 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 11946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220360).

11946080 is an abundant number, since it is smaller than the sum of its proper divisors (16494640).

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

11946080 is a wasteful number, since it uses less digits than its factorization.

11946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 11946080 is about 3456.3101712665. The cubic root of 11946080 is about 228.5994281176.

The spelling of 11946080 in words is "eleven million, nine hundred forty-six thousand, eighty".