11312580 has 48 divisors (see below), whose sum is σ = 31893120. Its totient is φ = 2995968.

The previous prime is 11312557. The next prime is 11312603. The reversal of 11312580 is 8521311.

11312580 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 is an interprime number because it is at equal distance from previous prime (11312557) and next prime (11312603).

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, 9456 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (664440).

Almost surely, 2^11312580 is an apocalyptic number.

11312580 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 11312580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946560).

11312580 is an abundant number, since it is smaller than the sum of its proper divisors (20580540).

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

11312580 is a wasteful number, since it uses less digits than its factorization.

11312580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11312580 is about 3363.4179044537. The cubic root of 11312580 is about 224.4849453284.

Adding to 11312580 its reverse (8521311), we get a palindrome (19833891).

The spelling of 11312580 in words is "eleven million, three hundred twelve thousand, five hundred eighty".