13631120 has 20 divisors (see below), whose sum is σ = 31692540. Its totient is φ = 5452416.

The previous prime is 13631117. The next prime is 13631143. The reversal of 13631120 is 2113631.

It can be written as a sum of positive squares in 2 ways, for example, as 4963984 + 8667136 = 2228^2 + 2944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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, 85115 + ... + 85274.

It is an arithmetic number, because the mean of its divisors is an integer number (1584627).

Almost surely, 2^13631120 is an apocalyptic number.

13631120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13631120 is an abundant number, since it is smaller than the sum of its proper divisors (18061420).

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

13631120 is a wasteful number, since it uses less digits than its factorization.

13631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170402 (or 170396 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13631120 is about 3692.0346693930. The cubic root of 13631120 is about 238.8785643836.

Adding to 13631120 its reverse (2113631), we get a palindrome (15744751).

The spelling of 13631120 in words is "thirteen million, six hundred thirty-one thousand, one hundred twenty".