11271520 has 48 divisors (see below), whose sum is σ = 28682640. Its totient is φ = 4161024.

The previous prime is 11271473. The next prime is 11271521. The reversal of 11271520 is 2517211.

11271520 = 384² + 385² + ... + 448².

It is a super-2 number, since 2×11271520² = 254094326220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630 + ... + 4789.

It is an arithmetic number, because the mean of its divisors is an integer number (597555).

Almost surely, 2^11271520 is an apocalyptic number.

11271520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11271520 is an abundant number, since it is smaller than the sum of its proper divisors (17411120).

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

11271520 is a wasteful number, since it uses less digits than its factorization.

11271520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 11271520 is about 3357.3084457643. The cubic root of 11271520 is about 224.2130201464.

Adding to 11271520 its reverse (2517211), we get a palindrome (13788731).

The spelling of 11271520 in words is "eleven million, two hundred seventy-one thousand, five hundred twenty".