11385180 has 72 divisors (see below), whose sum is σ = 36363600. Its totient is φ = 2875392.

The previous prime is 11385131. The next prime is 11385191. The reversal of 11385180 is 8158311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (505050).

Almost surely, 2^11385180 is an apocalyptic number.

11385180 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 11385180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181800).

11385180 is an abundant number, since it is smaller than the sum of its proper divisors (24978420).

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

11385180 is a wasteful number, since it uses less digits than its factorization.

11385180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 11385180 is about 3374.1932369086. The cubic root of 11385180 is about 224.9641424339.

It can be divided in two parts, 11385 and 180, that multiplied together give a triangular number (2049300 = T₂₀₂₄).

The spelling of 11385180 in words is "eleven million, three hundred eighty-five thousand, one hundred eighty".