11787480 has 96 divisors (see below), whose sum is σ = 38750400. Its totient is φ = 3107328.

The previous prime is 11787473. The next prime is 11787481. The reversal of 11787480 is 8478711.

11787480 is a `hidden beast` number, since 1 + 178 + 7 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11787481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49201 + ... + 49439.

It is an arithmetic number, because the mean of its divisors is an integer number (403650).

Almost surely, 2^11787480 is an apocalyptic number.

11787480 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 11787480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

11787480 is an abundant number, since it is smaller than the sum of its proper divisors (26962920).

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

11787480 is a wasteful number, since it uses less digits than its factorization.

11787480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 386 counting only the distinct ones).

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

The square root of 11787480 is about 3433.2899673637. The cubic root of 11787480 is about 227.5832646148.

The spelling of 11787480 in words is "eleven million, seven hundred eighty-seven thousand, four hundred eighty".