11317920 has 192 divisors, whose sum is σ = 40279680. Its totient is φ = 2654208.

The previous prime is 11317877. The next prime is 11317921. The reversal of 11317920 is 2971311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11317921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155004 + ... + 155076.

It is an arithmetic number, because the mean of its divisors is an integer number (209790).

Almost surely, 2^11317920 is an apocalyptic number.

11317920 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 11317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139840).

11317920 is an abundant number, since it is smaller than the sum of its proper divisors (28961760).

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

11317920 is a wasteful number, since it uses less digits than its factorization.

11317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 11317920 is about 3364.2116461364. The cubic root of 11317920 is about 224.5202617943.

The spelling of 11317920 in words is "eleven million, three hundred seventeen thousand, nine hundred twenty".