11269920 has 96 divisors (see below), whose sum is σ = 36251712. Its totient is φ = 2941952.

The previous prime is 11269919. The next prime is 11269939. The reversal of 11269920 is 2996211.

It is a happy number.

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

It is a super-2 number, since 2×11269920² = 254022193612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

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, 25219 + ... + 25661.

It is an arithmetic number, because the mean of its divisors is an integer number (377622).

Almost surely, 2^11269920 is an apocalyptic number.

11269920 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 11269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125856).

11269920 is an abundant number, since it is smaller than the sum of its proper divisors (24981792).

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

11269920 is a wasteful number, since it uses less digits than its factorization.

11269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 11269920 is about 3357.0701511884. The cubic root of 11269920 is about 224.2024105803.

The spelling of 11269920 in words is "eleven million, two hundred sixty-nine thousand, nine hundred twenty".