11086320 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 2533632.

The previous prime is 11086319. The next prime is 11086333. The reversal of 11086320 is 2368011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11086320² = 245812982284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 1620 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^11086320 is an apocalyptic number.

11086320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11086320 is an abundant number, since it is smaller than the sum of its proper divisors (28196880).

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

11086320 is a wasteful number, since it uses less digits than its factorization.

11086320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11086320 is about 3329.6125900771. The cubic root of 11086320 is about 222.9782332445.

The spelling of 11086320 in words is "eleven million, eighty-six thousand, three hundred twenty".