11401008 has 60 divisors (see below), whose sum is σ = 30857400. Its totient is φ = 3627008.

The previous prime is 11401001. The next prime is 11401037. The reversal of 11401008 is 80010411.

It is not an unprimeable number, because it can be changed into a prime (11401001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25168 + ... + 25616.

It is an arithmetic number, because the mean of its divisors is an integer number (514290).

Almost surely, 2^11401008 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 11401008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428700).

11401008 is an abundant number, since it is smaller than the sum of its proper divisors (19456392).

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

11401008 is a wasteful number, since it uses less digits than its factorization.

11401008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11401008 is about 3376.5378718445. The cubic root of 11401008 is about 225.0683446700.

Adding to 11401008 its reverse (80010411), we get a palindrome (91411419).

The spelling of 11401008 in words is "eleven million, four hundred one thousand, eight".