11940960 has 48 divisors (see below), whose sum is σ = 37615536. Its totient is φ = 3184128.

The previous prime is 11940947. The next prime is 11940967. The reversal of 11940960 is 6904911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11940967) 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, 11959 + ... + 12918.

It is an arithmetic number, because the mean of its divisors is an integer number (783657).

Almost surely, 2^11940960 is an apocalyptic number.

11940960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11940960 is an abundant number, since it is smaller than the sum of its proper divisors (25674576).

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

11940960 is a wasteful number, since it uses less digits than its factorization.

11940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24895 (or 24887 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 11940960 is about 3455.5694176214. The cubic root of 11940960 is about 228.5667647858.

The spelling of 11940960 in words is "eleven million, nine hundred forty thousand, nine hundred sixty".