11896960 has 64 divisors (see below), whose sum is σ = 29467800. Its totient is φ = 4587520.

The previous prime is 11896933. The next prime is 11896961. The reversal of 11896960 is 6969811.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 553536 = 3368^2 + 744^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11896961) 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, 18240 + ... + 18880.

Almost surely, 2^11896960 is an apocalyptic number.

11896960 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 11896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733900).

11896960 is an abundant number, since it is smaller than the sum of its proper divisors (17570840).

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

11896960 is an equidigital number, since it uses as much as digits as its factorization.

11896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 11896960 is about 3449.1970080006. The cubic root of 11896960 is about 228.2856786312.

The spelling of 11896960 in words is "eleven million, eight hundred ninety-six thousand, nine hundred sixty".