11200896 has 128 divisors (see below), whose sum is σ = 37862400. Its totient is φ = 3193344.

The previous prime is 11200883. The next prime is 11200897. The reversal of 11200896 is 69800211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23961 + ... + 24423.

It is an arithmetic number, because the mean of its divisors is an integer number (295800).

Almost surely, 2^11200896 is an apocalyptic number.

11200896 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 11200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18931200).

11200896 is an abundant number, since it is smaller than the sum of its proper divisors (26661504).

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

11200896 is an equidigital number, since it uses as much as digits as its factorization.

11200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 475 counting only the distinct ones).

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

The square root of 11200896 is about 3346.7739690633. The cubic root of 11200896 is about 223.7437545982.

The spelling of 11200896 in words is "eleven million, two hundred thousand, eight hundred ninety-six".