13948480 has 112 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 4405248.

The previous prime is 13948433. The next prime is 13948499. The reversal of 13948480 is 8484931.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28881 + ... + 29359.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^13948480 is an apocalyptic number.

13948480 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 13948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

13948480 is an abundant number, since it is smaller than the sum of its proper divisors (27016640).

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

13948480 is a wasteful number, since it uses less digits than its factorization.

13948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 13948480 is about 3734.7663916234. The cubic root of 13948480 is about 240.7182188997.

The spelling of 13948480 in words is "thirteen million, nine hundred forty-eight thousand, four hundred eighty".