11140896 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3354624.

The previous prime is 11140837. The next prime is 11140903. The reversal of 11140896 is 69804111.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 98536 + ... + 98648.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^11140896 is an apocalyptic number.

11140896 is a gapful number since it is divisible by the number (16) 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 11140896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

11140896 is an abundant number, since it is smaller than the sum of its proper divisors (21034464).

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

11140896 is a wasteful number, since it uses less digits than its factorization.

11140896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11140896 is about 3337.7980765768. The cubic root of 11140896 is about 223.3435286551.

The spelling of 11140896 in words is "eleven million, one hundred forty thousand, eight hundred ninety-six".