11152008 has 144 divisors (see below), whose sum is σ = 36679500. Its totient is φ = 3048192.

The previous prime is 11151977. The next prime is 11152021. The reversal of 11152008 is 80025111.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 142884 = 3318^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102258 + ... + 102366.

Almost surely, 2^11152008 is an apocalyptic number.

11152008 is a gapful number since it is divisible by the number (18) 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 11152008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339750).

11152008 is an abundant number, since it is smaller than the sum of its proper divisors (25527492).

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

11152008 is a wasteful number, since it uses less digits than its factorization.

11152008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11152008 is about 3339.4622321565. The cubic root of 11152008 is about 223.4177587299.

Adding to 11152008 its reverse (80025111), we get a palindrome (91177119).

The spelling of 11152008 in words is "eleven million, one hundred fifty-two thousand, eight".