11607480 has 96 divisors (see below), whose sum is σ = 39733200. Its totient is φ = 2930688.

The previous prime is 11607457. The next prime is 11607487. The reversal of 11607480 is 8470611.

It is a happy number.

11607480 is a `hidden beast` number, since 11 + 607 + 48 + 0 = 666.

11607480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11607487) 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, 5992 + ... + 7688.

Almost surely, 2^11607480 is an apocalyptic number.

11607480 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 11607480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866600).

11607480 is an abundant number, since it is smaller than the sum of its proper divisors (28125720).

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

11607480 is a wasteful number, since it uses less digits than its factorization.

11607480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11607480 is about 3406.9751980312. The cubic root of 11607480 is about 226.4188853296.

The spelling of 11607480 in words is "eleven million, six hundred seven thousand, four hundred eighty".