13705480 has 64 divisors (see below), whose sum is σ = 32341680. Its totient is φ = 5222400.

The previous prime is 13705469. The next prime is 13705507. The reversal of 13705480 is 8450731.

It can be written as a sum of positive squares in 8 ways, for example, as 412164 + 13293316 = 642^2 + 3646^2 .

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 15 ways as a sum of consecutive naturals, for example, 99972 + ... + 100108.

Almost surely, 2^13705480 is an apocalyptic number.

13705480 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 13705480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170840).

13705480 is an abundant number, since it is smaller than the sum of its proper divisors (18636200).

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

13705480 is a wasteful number, since it uses less digits than its factorization.

13705480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13705480 is about 3702.0913008731. The cubic root of 13705480 is about 239.3121508519.

It can be divided in two parts, 1370 and 5480, that multiplied together give a square (7507600 = 2740²).

The spelling of 13705480 in words is "thirteen million, seven hundred five thousand, four hundred eighty".