11290320 has 80 divisors (see below), whose sum is σ = 38896320. Its totient is φ = 3010176.

The previous prime is 11290303. The next prime is 11290333. The reversal of 11290320 is 2309211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11290293 and 11290302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 4773.

It is an arithmetic number, because the mean of its divisors is an integer number (486204).

Almost surely, 2^11290320 is an apocalyptic number.

11290320 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 11290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448160).

11290320 is an abundant number, since it is smaller than the sum of its proper divisors (27606000).

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

11290320 is a wasteful number, since it uses less digits than its factorization.

11290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11290320 is about 3360.1071411489. The cubic root of 11290320 is about 224.3376074072.

Adding to 11290320 its reverse (2309211), we get a palindrome (13599531).

The spelling of 11290320 in words is "eleven million, two hundred ninety thousand, three hundred twenty".