11356840 has 64 divisors (see below), whose sum is σ = 28460160. Its totient is φ = 4043520.

The previous prime is 11356837. The next prime is 11356841. The reversal of 11356840 is 4865311.

It is a junction number, because it is equal to n+sod(n) for n = 11356799 and 11356808.

It is not an unprimeable number, because it can be changed into a prime (11356841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23077 + ... + 23563.

It is an arithmetic number, because the mean of its divisors is an integer number (444690).

Almost surely, 2^11356840 is an apocalyptic number.

11356840 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 11356840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230080).

11356840 is an abundant number, since it is smaller than the sum of its proper divisors (17103320).

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

11356840 is a wasteful number, since it uses less digits than its factorization.

11356840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 11356840 is about 3369.9910979111. The cubic root of 11356840 is about 224.7773270278. Note that the first 3 decimals are identical.

It can be divided in two parts, 113 and 56840, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 11356840 in words is "eleven million, three hundred fifty-six thousand, eight hundred forty".