11617120 has 48 divisors (see below), whose sum is σ = 29066688. Its totient is φ = 4372480.

The previous prime is 11617117. The next prime is 11617127. The reversal of 11617120 is 2171611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617127) 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, 585 + ... + 4855.

It is an arithmetic number, because the mean of its divisors is an integer number (605556).

Almost surely, 2^11617120 is an apocalyptic number.

11617120 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 11617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533344).

11617120 is an abundant number, since it is smaller than the sum of its proper divisors (17449568).

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

11617120 is a wasteful number, since it uses less digits than its factorization.

11617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 11617120 is about 3408.3896490865. The cubic root of 11617120 is about 226.4815482015.

Adding to 11617120 its reverse (2171611), we get a palindrome (13788731).

It can be divided in two parts, 1161 and 7120, that added together give a square (8281 = 91²).

The spelling of 11617120 in words is "eleven million, six hundred seventeen thousand, one hundred twenty".