11872960 has 56 divisors (see below), whose sum is σ = 30851856. Its totient is φ = 4316160.

The previous prime is 11872951. The next prime is 11872961. The reversal of 11872960 is 6927811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11872961) 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, 1834 + ... + 5206.

It is an arithmetic number, because the mean of its divisors is an integer number (550926).

Almost surely, 2^11872960 is an apocalyptic number.

11872960 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 11872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425928).

11872960 is an abundant number, since it is smaller than the sum of its proper divisors (18978896).

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

11872960 is a wasteful number, since it uses less digits than its factorization.

11872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11872960 is about 3445.7161809992. The cubic root of 11872960 is about 228.1320667105.

The spelling of 11872960 in words is "eleven million, eight hundred seventy-two thousand, nine hundred sixty".