11629120 has 28 divisors (see below), whose sum is σ = 27692604. Its totient is φ = 4651520.

The previous prime is 11629109. The next prime is 11629133. The reversal of 11629120 is 2192611.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 4910656 = 2592^2 + 2216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11629091 and 11629100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17851 + ... + 18490.

Almost surely, 2^11629120 is an apocalyptic number.

11629120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11629120 is an abundant number, since it is smaller than the sum of its proper divisors (16063484).

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

11629120 is an equidigital number, since it uses as much as digits as its factorization.

11629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36358 (or 36348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11629120 is about 3410.1495568376. The cubic root of 11629120 is about 226.5595033611.

The spelling of 11629120 in words is "eleven million, six hundred twenty-nine thousand, one hundred twenty".