11038680 has 80 divisors (see below), whose sum is σ = 37113120. Its totient is φ = 2942784.

The previous prime is 11038669. The next prime is 11038721. The reversal of 11038680 is 8683011.

It is a super-2 number, since 2×11038680² = 243704912284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1537 + ... + 4943.

It is an arithmetic number, because the mean of its divisors is an integer number (463914).

Almost surely, 2^11038680 is an apocalyptic number.

11038680 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 11038680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556560).

11038680 is an abundant number, since it is smaller than the sum of its proper divisors (26074440).

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

11038680 is a wasteful number, since it uses less digits than its factorization.

11038680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11038680 is about 3322.4509025718. The cubic root of 11038680 is about 222.6583815308.

The spelling of 11038680 in words is "eleven million, thirty-eight thousand, six hundred eighty".