13675480 has 144 divisors (see below), whose sum is σ = 40450320. Its totient is φ = 4073472.

The previous prime is 13675471. The next prime is 13675481. The reversal of 13675480 is 8457631.

13675480 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

13675480 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13675481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 804432 + ... + 804448.

It is an arithmetic number, because the mean of its divisors is an integer number (280905).

Almost surely, 2^13675480 is an apocalyptic number.

13675480 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 13675480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225160).

13675480 is an abundant number, since it is smaller than the sum of its proper divisors (26774840).

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

13675480 is a wasteful number, since it uses less digits than its factorization.

13675480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 13675480 is about 3698.0373172806. The cubic root of 13675480 is about 239.1374127368.

The spelling of 13675480 in words is "thirteen million, six hundred seventy-five thousand, four hundred eighty".