13830600 has 192 divisors, whose sum is σ = 50889600. Its totient is φ = 3041280.

The previous prime is 13830599. The next prime is 13830611. The reversal of 13830600 is 603831.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155356 + ... + 155444.

It is an arithmetic number, because the mean of its divisors is an integer number (265050).

Almost surely, 2^13830600 is an apocalyptic number.

13830600 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 13830600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

13830600 is an abundant number, since it is smaller than the sum of its proper divisors (37059000).

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

13830600 is a wasteful number, since it uses less digits than its factorization.

13830600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13830600 is about 3718.9514651310. The cubic root of 13830600 is about 240.0381883677.

The spelling of 13830600 in words is "thirteen million, eight hundred thirty thousand, six hundred".