1368640 has 112 divisors (see below), whose sum is σ = 4096512. Its totient is φ = 423936.

The previous prime is 1368617. The next prime is 1368643. The reversal of 1368640 is 468631.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 1368599 and 1368608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29097 + ... + 29143.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2^1368640 is an apocalyptic number.

1368640 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 1368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256).

1368640 is an abundant number, since it is smaller than the sum of its proper divisors (2727872).

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

1368640 is a wasteful number, since it uses less digits than its factorization.

1368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1368640 is about 1169.8888836125. Note that the first 5 decimals coincide. The cubic root of 1368640 is about 111.0272908575.

Subtracting from 1368640 its reverse (468631), we obtain a palindrome (900009).

The spelling of 1368640 in words is "one million, three hundred sixty-eight thousand, six hundred forty".