11955280 has 20 divisors (see below), whose sum is σ = 27796212. Its totient is φ = 4782080.

The previous prime is 11955277. The next prime is 11955289. The reversal of 11955280 is 8255911.

It can be written as a sum of positive squares in 2 ways, for example, as 7595536 + 4359744 = 2756^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11955289) 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 3 ways as a sum of consecutive naturals, for example, 74641 + ... + 74800.

Almost surely, 2^11955280 is an apocalyptic number.

11955280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11955280 is an abundant number, since it is smaller than the sum of its proper divisors (15840932).

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

11955280 is a wasteful number, since it uses less digits than its factorization.

11955280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149454 (or 149448 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 11955280 is about 3457.6408141969. The cubic root of 11955280 is about 228.6580965980.

The spelling of 11955280 in words is "eleven million, nine hundred fifty-five thousand, two hundred eighty".