11171520 has 140 divisors (see below), whose sum is σ = 39831264. Its totient is φ = 2972160.

The previous prime is 11171507. The next prime is 11171539. The reversal of 11171520 is 2517111.

It is a happy number.

It is a super-2 number, since 2×11171520² = 249605718220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 11171493 and 11171502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25705 + ... + 26135.

Almost surely, 2^11171520 is an apocalyptic number.

11171520 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 11171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915632).

11171520 is an abundant number, since it is smaller than the sum of its proper divisors (28659744).

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

11171520 is an equidigital number, since it uses as much as digits as its factorization.

11171520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 11171520 is about 3342.3823838693. The cubic root of 11171520 is about 223.5479830315.

Adding to 11171520 its reverse (2517111), we get a palindrome (13688631).

It can be divided in two parts, 111 and 71520, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 11171520 in words is "eleven million, one hundred seventy-one thousand, five hundred twenty".