11477120 has 64 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 4512768.

The previous prime is 11477119. The next prime is 11477177. The reversal of 11477120 is 2177411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50447 + ... + 50673.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^11477120 is an apocalyptic number.

11477120 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 11477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

11477120 is an abundant number, since it is smaller than the sum of its proper divisors (16430080).

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

11477120 is an equidigital number, since it uses as much as digits as its factorization.

11477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 11477120 is about 3387.7898399989. The cubic root of 11477120 is about 225.5680789133.

The spelling of 11477120 in words is "eleven million, four hundred seventy-seven thousand, one hundred twenty".