11961360 has 120 divisors (see below), whose sum is σ = 41347800. Its totient is φ = 3096576.

The previous prime is 11961349. The next prime is 11961373. The reversal of 11961360 is 6316911.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 8088336 = 1968^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26416 + ... + 26864.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 2^11961360 is an apocalyptic number.

11961360 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 11961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673900).

11961360 is an abundant number, since it is smaller than the sum of its proper divisors (29386440).

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

11961360 is a wasteful number, since it uses less digits than its factorization.

11961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11961360 is about 3458.5199146456. The cubic root of 11961360 is about 228.6968522948.

It can be divided in two parts, 11961 and 360, that added together give a palindrome (12321).

The spelling of 11961360 in words is "eleven million, nine hundred sixty-one thousand, three hundred sixty".