11477808 has 60 divisors (see below), whose sum is σ = 33148920. Its totient is φ = 3802464.

The previous prime is 11477797. The next prime is 11477819. The reversal of 11477808 is 80877411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11477797) and next prime (11477819).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70335 + ... + 70497.

It is an arithmetic number, because the mean of its divisors is an integer number (552482).

Almost surely, 2^11477808 is an apocalyptic number.

11477808 is a gapful number since it is divisible by the number (18) 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 11477808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574460).

11477808 is an abundant number, since it is smaller than the sum of its proper divisors (21671112).

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

11477808 is an equidigital number, since it uses as much as digits as its factorization.

11477808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 11477808 is about 3387.8913796047. The cubic root of 11477808 is about 225.5725860759.

The spelling of 11477808 in words is "eleven million, four hundred seventy-seven thousand, eight hundred eight".