11477040 has 160 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 2752512.

The previous prime is 11477027. The next prime is 11477047. The reversal of 11477040 is 4077411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11477040.

It is not an unprimeable number, because it can be changed into a prime (11477047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118272 + ... + 118368.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^11477040 is an apocalyptic number.

11477040 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 11477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

11477040 is an abundant number, since it is smaller than the sum of its proper divisors (27895440).

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

11477040 is a wasteful number, since it uses less digits than its factorization.

11477040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 11477040 is about 3387.7780328705. The cubic root of 11477040 is about 225.5675548129.

The spelling of 11477040 in words is "eleven million, four hundred seventy-seven thousand, forty".