13948200 has 288 divisors, whose sum is σ = 56871360. Its totient is φ = 3110400.

The previous prime is 13948153. The next prime is 13948213. The reversal of 13948200 is 284931.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 340180 + ... + 340220.

It is an arithmetic number, because the mean of its divisors is an integer number (197470).

Almost surely, 2^13948200 is an apocalyptic number.

13948200 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 13948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

13948200 is an abundant number, since it is smaller than the sum of its proper divisors (42923160).

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

13948200 is a wasteful number, since it uses less digits than its factorization.

13948200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

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

The square root of 13948200 is about 3734.7289058244. The cubic root of 13948200 is about 240.7166081734.

The spelling of 13948200 in words is "thirteen million, nine hundred forty-eight thousand, two hundred".