11582480 has 160 divisors (see below), whose sum is σ = 34831104. Its totient is φ = 3483648.

The previous prime is 11582477. The next prime is 11582489. The reversal of 11582480 is 8428511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11582489) 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, 269339 + ... + 269381.

Almost surely, 2^11582480 is an apocalyptic number.

11582480 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 11582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415552).

11582480 is an abundant number, since it is smaller than the sum of its proper divisors (23248624).

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

11582480 is a wasteful number, since it uses less digits than its factorization.

11582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 11582480 is about 3403.3042767287. The cubic root of 11582480 is about 226.2562160619.

The spelling of 11582480 in words is "eleven million, five hundred eighty-two thousand, four hundred eighty".