11477376 has 128 divisors (see below), whose sum is σ = 35128800. Its totient is φ = 3732480.

The previous prime is 11477327. The next prime is 11477383. The reversal of 11477376 is 67377411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11477376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279916 + ... + 279956.

Almost surely, 2^11477376 is an apocalyptic number.

11477376 is a gapful number since it is divisible by the number (16) 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 11477376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564400).

11477376 is an abundant number, since it is smaller than the sum of its proper divisors (23651424).

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

11477376 is an frugal number, since it uses more digits than its factorization.

11477376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 11477376 is about 3387.8276225334. The cubic root of 11477376 is about 225.5697560181.

The spelling of 11477376 in words is "eleven million, four hundred seventy-seven thousand, three hundred seventy-six".