1375668 has 72 divisors (see below), whose sum is σ = 4088448. Its totient is φ = 381888.

The previous prime is 1375639. The next prime is 1375669. The reversal of 1375668 is 8665731.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13305 + ... + 13407.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

2^1375668 is an apocalyptic number.

1375668 is a gapful number since it is divisible by the number (18) 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 1375668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044224).

1375668 is an abundant number, since it is smaller than the sum of its proper divisors (2712780).

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

1375668 is a wasteful number, since it uses less digits than its factorization.

1375668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 168 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1375668 is about 1172.8887415267. Note that the first 3 decimals coincide. The cubic root of 1375668 is about 111.2170091125.

It can be divided in two parts, 13756 and 68, that added together give a cube (13824 = 24³).

The spelling of 1375668 in words is "one million, three hundred seventy-five thousand, six hundred sixty-eight".