13631040 has 84 divisors (see below), whose sum is σ = 46895004. Its totient is φ = 3634176.

The previous prime is 13631003. The next prime is 13631053. The reversal of 13631040 is 4013631.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 10036224 = 1896^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514 + ... + 5246.

Almost surely, 2^13631040 is an apocalyptic number.

13631040 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 13631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23447502).

13631040 is an abundant number, since it is smaller than the sum of its proper divisors (33263964).

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

13631040 is a wasteful number, since it uses less digits than its factorization.

13631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13631040 is about 3692.0238352427. The cubic root of 13631040 is about 238.8780970627.

Adding to 13631040 its reverse (4013631), we get a palindrome (17644671).

The spelling of 13631040 in words is "thirteen million, six hundred thirty-one thousand, forty".