11700480 has 144 divisors (see below), whose sum is σ = 40912704. Its totient is φ = 2826240.

The previous prime is 11700463. The next prime is 11700487. The reversal of 11700480 is 8400711.

It is not an unprimeable number, because it can be changed into a prime (11700487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42102 + ... + 42378.

It is an arithmetic number, because the mean of its divisors is an integer number (284116).

Almost surely, 2^11700480 is an apocalyptic number.

11700480 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 11700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456352).

11700480 is an abundant number, since it is smaller than the sum of its proper divisors (29212224).

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

11700480 is a wasteful number, since it uses less digits than its factorization.

11700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11700480 is about 3420.5964392193. The cubic root of 11700480 is about 227.0219725540.

The spelling of 11700480 in words is "eleven million, seven hundred thousand, four hundred eighty".