11838580 has 24 divisors (see below), whose sum is σ = 26773992. Its totient is φ = 4371072.

The previous prime is 11838571. The next prime is 11838637. The reversal of 11838580 is 8583811.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 11655396 = 428^2 + 3414^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22507 + ... + 23026.

It is an arithmetic number, because the mean of its divisors is an integer number (1115583).

Almost surely, 2^11838580 is an apocalyptic number.

11838580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11838580 is an abundant number, since it is smaller than the sum of its proper divisors (14935412).

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

11838580 is a wasteful number, since it uses less digits than its factorization.

11838580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45555 (or 45553 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 11838580 is about 3440.7237610712. The cubic root of 11838580 is about 227.9116565505.

The spelling of 11838580 in words is "eleven million, eight hundred thirty-eight thousand, five hundred eighty".