11657120 has 48 divisors (see below), whose sum is σ = 28227528. Its totient is φ = 4546560.

The previous prime is 11657099. The next prime is 11657123. The reversal of 11657120 is 2175611.

It can be written as a sum of positive squares in 4 ways, for example, as 6330256 + 5326864 = 2516^2 + 2308^2 .

It is not an unprimeable number, because it can be changed into a prime (11657123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5672 + ... + 7448.

Almost surely, 2^11657120 is an apocalyptic number.

11657120 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 11657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113764).

11657120 is an abundant number, since it is smaller than the sum of its proper divisors (16570408).

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

11657120 is a wasteful number, since it uses less digits than its factorization.

11657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 11657120 is about 3414.2524804121. The cubic root of 11657120 is about 226.7411904126.

The spelling of 11657120 in words is "eleven million, six hundred fifty-seven thousand, one hundred twenty".