13480320 has 256 divisors, whose sum is σ = 52876800. Its totient is φ = 2850816.

The previous prime is 13480309. The next prime is 13480339. The reversal of 13480320 is 2308431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 228451 + ... + 228509.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^13480320 is an apocalyptic number.

13480320 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 13480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

13480320 is an abundant number, since it is smaller than the sum of its proper divisors (39396480).

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

13480320 is a wasteful number, since it uses less digits than its factorization.

13480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13480320 is about 3671.5555286554. Note that the first 4 decimals coincide. The cubic root of 13480320 is about 237.9943976272.

Adding to 13480320 its reverse (2308431), we get a palindrome (15788751).

The spelling of 13480320 in words is "thirteen million, four hundred eighty thousand, three hundred twenty".