11016000 has 280 divisors, whose sum is σ = 43150536. Its totient is φ = 2764800.

The previous prime is 11015993. The next prime is 11016059. The reversal of 11016000 is 61011.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 10969344 = 216^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647992 + ... + 648008.

Almost surely, 2^11016000 is an apocalyptic number.

11016000 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 11016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21575268).

11016000 is an abundant number, since it is smaller than the sum of its proper divisors (32134536).

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

11016000 is an equidigital number, since it uses as much as digits as its factorization.

11016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11016000 is about 3319.0360046254. The cubic root of 11016000 is about 222.5057861560.

Adding to 11016000 its reverse (61011), we get a palindrome (11077011).

It can be divided in two parts, 110 and 16000, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 11016000 in words is "eleven million, sixteen thousand".