11271720 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 2795520.

The previous prime is 11271713. The next prime is 11271737. The reversal of 11271720 is 2717211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142641 + ... + 142719.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^11271720 is an apocalyptic number.

11271720 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 11271720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11271720 is an abundant number, since it is smaller than the sum of its proper divisors (25016280).

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

11271720 is a wasteful number, since it uses less digits than its factorization.

11271720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 11271720 is about 3357.3382313970. The cubic root of 11271720 is about 224.2143462716.

Adding to 11271720 its reverse (2717211), we get a palindrome (13988931).

It can be divided in two parts, 1 and 1271720, that added together give a palindrome (1271721).

The spelling of 11271720 in words is "eleven million, two hundred seventy-one thousand, seven hundred twenty".