11311008 has 48 divisors (see below), whose sum is σ = 30209760. Its totient is φ = 3704576.

The previous prime is 11310989. The next prime is 11311019. The reversal of 11311008 is 80011311.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4666 + ... + 6662.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 2^11311008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104880).

11311008 is an abundant number, since it is smaller than the sum of its proper divisors (18898752).

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

11311008 is a wasteful number, since it uses less digits than its factorization.

11311008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 11311008 is about 3363.1842054815. The cubic root of 11311008 is about 224.4745466783.

Adding to 11311008 its reverse (80011311), we get a palindrome (91322319).

The spelling of 11311008 in words is "eleven million, three hundred eleven thousand, eight".