11585088 has 42 divisors (see below), whose sum is σ = 33208214. Its totient is φ = 3861504.

The previous prime is 11585081. The next prime is 11585129. The reversal of 11585088 is 88058511.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 4359744 = 2688^2 + 2088^2 .

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 (11585081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9481 + ... + 10632.

Almost surely, 2^11585088 is an apocalyptic number.

11585088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11585088 is an abundant number, since it is smaller than the sum of its proper divisors (21623126).

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

11585088 is a wasteful number, since it uses less digits than its factorization.

11585088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20118 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 11585088 is about 3403.6874122046. The cubic root of 11585088 is about 226.2731966489.

The spelling of 11585088 in words is "eleven million, five hundred eighty-five thousand, eighty-eight".