14813800 has 48 divisors (see below), whose sum is σ = 36476460. Its totient is φ = 5575680.

The previous prime is 14813797. The next prime is 14813803. The reversal of 14813800 is 831841.

It is an interprime number because it is at equal distance from previous prime (14813797) and next prime (14813803).

It can be written as a sum of positive squares in 6 ways, for example, as 12545764 + 2268036 = 3542^2 + 1506^2 .

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 (14813803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222 + ... + 5578.

Almost surely, 2^14813800 is an apocalyptic number.

14813800 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 14813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18238230).

14813800 is an abundant number, since it is smaller than the sum of its proper divisors (21662660).

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

14813800 is a wasteful number, since it uses less digits than its factorization.

14813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 14813800 is about 3848.8699640284. The cubic root of 14813800 is about 245.5964918667.

The spelling of 14813800 in words is "fourteen million, eight hundred thirteen thousand, eight hundred".