11193840 has 120 divisors (see below), whose sum is σ = 42982368. Its totient is φ = 2557440.

The previous prime is 11193839. The next prime is 11193841. The reversal of 11193840 is 4839111.

It is an interprime number because it is at equal distance from previous prime (11193839) and next prime (11193841).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11193841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3930 + ... + 6150.

Almost surely, 2^11193840 is an apocalyptic number.

11193840 is a gapful number since it is divisible by the number (10) 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 11193840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21491184).

11193840 is an abundant number, since it is smaller than the sum of its proper divisors (31788528).

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

11193840 is a wasteful number, since it uses less digits than its factorization.

11193840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11193840 is about 3345.7196535275. The cubic root of 11193840 is about 223.6967622994.

The spelling of 11193840 in words is "eleven million, one hundred ninety-three thousand, eight hundred forty".