11073888 has 96 divisors (see below), whose sum is σ = 36933120. Its totient is φ = 3162240.

The previous prime is 11073883. The next prime is 11073889. The reversal of 11073888 is 88837011.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5133 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (384720).

Almost surely, 2^11073888 is an apocalyptic number.

11073888 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 11073888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466560).

11073888 is an abundant number, since it is smaller than the sum of its proper divisors (25859232).

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

11073888 is a wasteful number, since it uses less digits than its factorization.

11073888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 11073888 is about 3327.7451825523. The cubic root of 11073888 is about 222.8948541423.

The spelling of 11073888 in words is "eleven million, seventy-three thousand, eight hundred eighty-eight".