11719008 has 72 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 3347712.

The previous prime is 11718979. The next prime is 11719009. The reversal of 11719008 is 80091711.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11719009) 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, 891 + ... + 4922.

It is an arithmetic number, because the mean of its divisors is an integer number (529074).

Almost surely, 2^11719008 is an apocalyptic number.

11719008 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 11719008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

11719008 is an abundant number, since it is smaller than the sum of its proper divisors (26374320).

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

11719008 is a wasteful number, since it uses less digits than its factorization.

11719008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 11719008 is about 3423.3036675118. The cubic root of 11719008 is about 227.1417409971.

The spelling of 11719008 in words is "eleven million, seven hundred nineteen thousand, eight".