13956480 has 96 divisors (see below), whose sum is σ = 48213360. Its totient is φ = 3720192.

The previous prime is 13956463. The next prime is 13956487. The reversal of 13956480 is 8465931.

13956480 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13956487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4549 + ... + 6971.

Almost surely, 2^13956480 is an apocalyptic number.

13956480 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 13956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106680).

13956480 is an abundant number, since it is smaller than the sum of its proper divisors (34256880).

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

13956480 is a wasteful number, since it uses less digits than its factorization.

13956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13956480 is about 3735.8372555560. The cubic root of 13956480 is about 240.7642305489.

It can be divided in two parts, 1395 and 6480, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 13956480 in words is "thirteen million, nine hundred fifty-six thousand, four hundred eighty".