13475840 has 112 divisors (see below), whose sum is σ = 37746432. Its totient is φ = 4521984.

The previous prime is 13475827. The next prime is 13475851. The reversal of 13475840 is 4857431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13475797 and 13475806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286697 + ... + 286743.

Almost surely, 2^13475840 is an apocalyptic number.

13475840 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 13475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873216).

13475840 is an abundant number, since it is smaller than the sum of its proper divisors (24270592).

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

13475840 is an frugal number, since it uses more digits than its factorization.

13475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 13475840 is about 3670.9453823232. The cubic root of 13475840 is about 237.9680299783.

The spelling of 13475840 in words is "thirteen million, four hundred seventy-five thousand, eight hundred forty".