11086400 has 126 divisors (see below), whose sum is σ = 30259782. Its totient is φ = 3993600.

The previous prime is 11086379. The next prime is 11086409. The reversal of 11086400 is 468011.

It can be written as a sum of positive squares in 9 ways, for example, as 9684544 + 1401856 = 3112^2 + 1184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11086409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270380 + ... + 270420.

It is an arithmetic number, because the mean of its divisors is an integer number (240157).

Almost surely, 2^11086400 is an apocalyptic number.

11086400 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 11086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15129891).

11086400 is an abundant number, since it is smaller than the sum of its proper divisors (19173382).

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

11086400 is a wasteful number, since it uses less digits than its factorization.

11086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11086400 is about 3329.6246034651. The cubic root of 11086400 is about 222.9787695876.

The spelling of 11086400 in words is "eleven million, eighty-six thousand, four hundred".