13920480 has 144 divisors (see below), whose sum is σ = 54329184. Its totient is φ = 3179520.

The previous prime is 13920479. The next prime is 13920509. The reversal of 13920480 is 8402931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9390 + ... + 10770.

It is an arithmetic number, because the mean of its divisors is an integer number (377286).

Almost surely, 2^13920480 is an apocalyptic number.

13920480 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 13920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27164592).

13920480 is an abundant number, since it is smaller than the sum of its proper divisors (40408704).

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

13920480 is a wasteful number, since it uses less digits than its factorization.

13920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13920480 is about 3731.0159474331. The cubic root of 13920480 is about 240.5570394458.

It can be divided in two parts, 13920 and 480, that added together give a square (14400 = 120²).

The spelling of 13920480 in words is "thirteen million, nine hundred twenty thousand, four hundred eighty".