11596480 has 112 divisors (see below), whose sum is σ = 32772096. Its totient is φ = 3824640.

The previous prime is 11596471. The next prime is 11596493. The reversal of 11596480 is 8469511.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69357 + ... + 69523.

It is an arithmetic number, because the mean of its divisors is an integer number (292608).

Almost surely, 2^11596480 is an apocalyptic number.

11596480 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 11596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386048).

11596480 is an abundant number, since it is smaller than the sum of its proper divisors (21175616).

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

11596480 is a wasteful number, since it uses less digits than its factorization.

11596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 11596480 is about 3405.3604801841. The cubic root of 11596480 is about 226.3473396566.

The spelling of 11596480 in words is "eleven million, five hundred ninety-six thousand, four hundred eighty".