11385810 has 48 divisors (see below), whose sum is σ = 30025944. Its totient is φ = 2992896.

The previous prime is 11385809. The next prime is 11385811. The reversal of 11385810 is 1858311.

It is an interprime number because it is at equal distance from previous prime (11385809) and next prime (11385811).

It can be written as a sum of positive squares in 4 ways, for example, as 9162729 + 2223081 = 3027^2 + 1491^2 .

It is a super-2 number, since 2×11385810² = 259273338712200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11385811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5704 + ... + 7436.

Almost surely, 2^11385810 is an apocalyptic number.

11385810 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 11385810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012972).

11385810 is an abundant number, since it is smaller than the sum of its proper divisors (18640134).

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

11385810 is a wasteful number, since it uses less digits than its factorization.

11385810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1816 counting only the distinct ones).

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

The square root of 11385810 is about 3374.2865912664. The cubic root of 11385810 is about 224.9682918280.

The spelling of 11385810 in words is "eleven million, three hundred eighty-five thousand, eight hundred ten".