13671840 has 192 divisors, whose sum is σ = 53174016. Its totient is φ = 2875392.

The previous prime is 13671829. The next prime is 13671857. The reversal of 13671840 is 4817631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13671798 and 13671807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43524 + ... + 43836.

It is an arithmetic number, because the mean of its divisors is an integer number (276948).

Almost surely, 2^13671840 is an apocalyptic number.

13671840 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 13671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26587008).

13671840 is an abundant number, since it is smaller than the sum of its proper divisors (39502176).

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

13671840 is a wasteful number, since it uses less digits than its factorization.

13671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13671840 is about 3697.5451315704. The cubic root of 13671840 is about 239.1161938004.

The spelling of 13671840 in words is "thirteen million, six hundred seventy-one thousand, eight hundred forty".