13629040 has 20 divisors (see below), whose sum is σ = 31687704. Its totient is φ = 5451584.

The previous prime is 13629017. The next prime is 13629067. The reversal of 13629040 is 4092631.

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

It is a junction number, because it is equal to n+sod(n) for n = 13628996 and 13629014.

It is a congruent number.

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, 85102 + ... + 85261.

Almost surely, 2^13629040 is an apocalyptic number.

13629040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629040 is an abundant number, since it is smaller than the sum of its proper divisors (18058664).

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

13629040 is a wasteful number, since it uses less digits than its factorization.

13629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170376 (or 170370 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13629040 is about 3691.7529711507. The cubic root of 13629040 is about 238.8664134455.

The spelling of 13629040 in words is "thirteen million, six hundred twenty-nine thousand, forty".