11607120 has 240 divisors, whose sum is σ = 46425600. Its totient is φ = 2596608.

The previous prime is 11607103. The next prime is 11607121. The reversal of 11607120 is 2170611.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 11607093 and 11607102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11607121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246937 + ... + 246983.

It is an arithmetic number, because the mean of its divisors is an integer number (193440).

Almost surely, 2^11607120 is an apocalyptic number.

11607120 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 11607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

11607120 is an abundant number, since it is smaller than the sum of its proper divisors (34818480).

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

11607120 is a wasteful number, since it uses less digits than its factorization.

11607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11607120 is about 3406.9223648331. The cubic root of 11607120 is about 226.4165445505.

Adding to 11607120 its reverse (2170611), we get a palindrome (13777731).

The spelling of 11607120 in words is "eleven million, six hundred seven thousand, one hundred twenty".