11729088 has 84 divisors (see below), whose sum is σ = 38435280. Its totient is φ = 3350016.

The previous prime is 11729077. The next prime is 11729093. The reversal of 11729088 is 88092711.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2578 + ... + 5486.

Almost surely, 2^11729088 is an apocalyptic number.

11729088 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 11729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217640).

11729088 is an abundant number, since it is smaller than the sum of its proper divisors (26706192).

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

11729088 is a wasteful number, since it uses less digits than its factorization.

11729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11729088 is about 3424.7756130877. The cubic root of 11729088 is about 227.2068469801.

The spelling of 11729088 in words is "eleven million, seven hundred twenty-nine thousand, eighty-eight".