11779488 has 72 divisors (see below), whose sum is σ = 38289888. Its totient is φ = 3364992.

The previous prime is 11779457. The next prime is 11779501. The reversal of 11779488 is 88497711.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906 + ... + 4937.

It is an arithmetic number, because the mean of its divisors is an integer number (531804).

Almost surely, 2^11779488 is an apocalyptic number.

11779488 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 11779488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19144944).

11779488 is an abundant number, since it is smaller than the sum of its proper divisors (26510400).

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

11779488 is a wasteful number, since it uses less digits than its factorization.

11779488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5855 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 11779488 is about 3432.1258718176. The cubic root of 11779488 is about 227.5318185983.

The spelling of 11779488 in words is "eleven million, seven hundred seventy-nine thousand, four hundred eighty-eight".