11915280 has 240 divisors, whose sum is σ = 46038720. Its totient is φ = 2737152.

The previous prime is 11915269. The next prime is 11915287. The reversal of 11915280 is 8251911.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (11915287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177807 + ... + 177873.

It is an arithmetic number, because the mean of its divisors is an integer number (191828).

Almost surely, 2^11915280 is an apocalyptic number.

11915280 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 11915280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

11915280 is an abundant number, since it is smaller than the sum of its proper divisors (34123440).

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

11915280 is a wasteful number, since it uses less digits than its factorization.

11915280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11915280 is about 3451.8516769989. The cubic root of 11915280 is about 228.4027967510.

The spelling of 11915280 in words is "eleven million, nine hundred fifteen thousand, two hundred eighty".