13913800 has 48 divisors (see below), whose sum is σ = 32827140. Its totient is φ = 5483520.

The previous prime is 13913791. The next prime is 13913807. The reversal of 13913800 is 831931.

It can be written as a sum of positive squares in 6 ways, for example, as 4901796 + 9012004 = 2214^2 + 3002^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13913807) 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, 14124 + ... + 15076.

Almost surely, 2^13913800 is an apocalyptic number.

13913800 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 13913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413570).

13913800 is an abundant number, since it is smaller than the sum of its proper divisors (18913340).

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

13913800 is a wasteful number, since it uses less digits than its factorization.

13913800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13913800 is about 3730.1206414806. The cubic root of 13913800 is about 240.5185547066.

The spelling of 13913800 in words is "thirteen million, nine hundred thirteen thousand, eight hundred".