13479840 has 288 divisors, whose sum is σ = 53778816. Its totient is φ = 3041280.

The previous prime is 13479821. The next prime is 13479871. The reversal of 13479840 is 4897431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13479795 and 13479804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364302 + ... + 364338.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 2^13479840 is an apocalyptic number.

13479840 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 13479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

13479840 is an abundant number, since it is smaller than the sum of its proper divisors (40298976).

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

13479840 is a wasteful number, since it uses less digits than its factorization.

13479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13479840 is about 3671.4901606841. The cubic root of 13479840 is about 237.9915728014.

The spelling of 13479840 in words is "thirteen million, four hundred seventy-nine thousand, eight hundred forty".