11580690 has 64 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2658240.

The previous prime is 11580683. The next prime is 11580691. The reversal of 11580690 is 9608511.

It is a happy number.

It is a super-2 number, since 2×11580690² = 268224761752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11580691) 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, 5347 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^11580690 is an apocalyptic number.

11580690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11580690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

11580690 is an abundant number, since it is smaller than the sum of its proper divisors (20352750).

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

11580690 is a wasteful number, since it uses less digits than its factorization.

11580690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 11580690 is about 3403.0412868492. The cubic root of 11580690 is about 226.2445599661.

The spelling of 11580690 in words is "eleven million, five hundred eighty thousand, six hundred ninety".