1375968 has 48 divisors (see below), whose sum is σ = 3943296. Its totient is φ = 416640.

The previous prime is 1375951. The next prime is 1375981. The reversal of 1375968 is 8695731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 1707.

It is an arithmetic number, because the mean of its divisors is an integer number (82152).

2^1375968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971648).

1375968 is an abundant number, since it is smaller than the sum of its proper divisors (2567328).

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

1375968 is a wasteful number, since it uses less digits than its factorization.

1375968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 1375968 is about 1173.0166239231. The cubic root of 1375968 is about 111.2250931070.

Subtracting from 1375968 its sum of digits (39), we obtain a square (1375929 = 1173²).

It can be divided in two parts, 1375 and 968, that multiplied together give a cube (1331000 = 110³).

The spelling of 1375968 in words is "one million, three hundred seventy-five thousand, nine hundred sixty-eight".