11880960 has 320 divisors, whose sum is σ = 49496832. Its totient is φ = 2359296.

The previous prime is 11880937. The next prime is 11880983. The reversal of 11880960 is 6908811.

It is an interprime number because it is at equal distance from previous prime (11880937) and next prime (11880983).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698872 + ... + 698888.

Almost surely, 2^11880960 is an apocalyptic number.

11880960 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 11880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

11880960 is an abundant number, since it is smaller than the sum of its proper divisors (37615872).

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

11880960 is a wasteful number, since it uses less digits than its factorization.

11880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 11880960 is about 3446.8768472343. The cubic root of 11880960 is about 228.1832936659.

The spelling of 11880960 in words is "eleven million, eight hundred eighty thousand, nine hundred sixty".