13629840 has 240 divisors, whose sum is σ = 52585920. Its totient is φ = 2903040.

The previous prime is 13629827. The next prime is 13629841. The reversal of 13629840 is 4892631.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (13629841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223410 + ... + 223470.

It is an arithmetic number, because the mean of its divisors is an integer number (219108).

Almost surely, 2^13629840 is an apocalyptic number.

13629840 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 13629840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292960).

13629840 is an abundant number, since it is smaller than the sum of its proper divisors (38956080).

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

13629840 is a wasteful number, since it uses less digits than its factorization.

13629840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13629840 is about 3691.8613191722. The cubic root of 13629840 is about 238.8710870295.

The spelling of 13629840 in words is "thirteen million, six hundred twenty-nine thousand, eight hundred forty".