11589480 has 240 divisors, whose sum is σ = 45934020. Its totient is φ = 2612736.

The previous prime is 11589467. The next prime is 11589497. The reversal of 11589480 is 8498511.

11589480 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 can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 15876 = 3402^2 + 126^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158724 + ... + 158796.

Almost surely, 2^11589480 is an apocalyptic number.

11589480 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 11589480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967010).

11589480 is an abundant number, since it is smaller than the sum of its proper divisors (34344540).

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

11589480 is a wasteful number, since it uses less digits than its factorization.

11589480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11589480 is about 3404.3325336988. The cubic root of 11589480 is about 226.3017870323.

The spelling of 11589480 in words is "eleven million, five hundred eighty-nine thousand, four hundred eighty".