13768600 has 48 divisors (see below), whose sum is σ = 32776920. Its totient is φ = 5376000.

The previous prime is 13768577. The next prime is 13768609. The reversal of 13768600 is 686731.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768609) 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, 7800 + ... + 9400.

Almost surely, 2^13768600 is an apocalyptic number.

13768600 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 13768600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16388460).

13768600 is an abundant number, since it is smaller than the sum of its proper divisors (19008320).

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

13768600 is a wasteful number, since it uses less digits than its factorization.

13768600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 13768600 is about 3710.6064194414. The cubic root of 13768600 is about 239.6789689190.

It can be divided in two parts, 1376 and 8600, that multiplied together give a square (11833600 = 3440²).

The spelling of 13768600 in words is "thirteen million, seven hundred sixty-eight thousand, six hundred".