13768300 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4055040.

The previous prime is 13768291. The next prime is 13768303. The reversal of 13768300 is 386731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13768303) 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 47 ways as a sum of consecutive naturals, for example, 154656 + ... + 154744.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^13768300 is an apocalyptic number.

13768300 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 13768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13768300 is an abundant number, since it is smaller than the sum of its proper divisors (25604180).

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

13768300 is a wasteful number, since it uses less digits than its factorization.

13768300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13768300 is about 3710.5659945620. The cubic root of 13768300 is about 239.6772281413.

The spelling of 13768300 in words is "thirteen million, seven hundred sixty-eight thousand, three hundred".