13948320 has 48 divisors (see below), whose sum is σ = 43938720. Its totient is φ = 3719424.

The previous prime is 13948301. The next prime is 13948343. The reversal of 13948320 is 2384931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14050 + ... + 15009.

It is an arithmetic number, because the mean of its divisors is an integer number (915390).

Almost surely, 2^13948320 is an apocalyptic number.

13948320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13948320 is an abundant number, since it is smaller than the sum of its proper divisors (29990400).

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

13948320 is a wasteful number, since it uses less digits than its factorization.

13948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29077 (or 29069 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13948320 is about 3734.7449712129. The cubic root of 13948320 is about 240.7172984873.

The spelling of 13948320 in words is "thirteen million, nine hundred forty-eight thousand, three hundred twenty".