11961960 has 64 divisors (see below), whose sum is σ = 36348480. Its totient is φ = 3148800.

The previous prime is 11961899. The next prime is 11961967. The reversal of 11961960 is 6916911.

It is not an unprimeable number, because it can be changed into a prime (11961967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9360 + ... + 10560.

It is an arithmetic number, because the mean of its divisors is an integer number (567945).

Almost surely, 2^11961960 is an apocalyptic number.

11961960 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 11961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174240).

11961960 is an abundant number, since it is smaller than the sum of its proper divisors (24386520).

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

11961960 is a wasteful number, since it uses less digits than its factorization.

11961960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 11961960 is about 3458.6066558659. The cubic root of 11961960 is about 228.7006761581.

It can be divided in two parts, 11961 and 960, that added together give a palindrome (12921).

The spelling of 11961960 in words is "eleven million, nine hundred sixty-one thousand, nine hundred sixty".