1395968 has 72 divisors (see below), whose sum is σ = 3433920. Its totient is φ = 552960.

The previous prime is 1395943. The next prime is 1395983. The reversal of 1395968 is 8695931.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34028 + ... + 34068.

2^1395968 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 1395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716960).

1395968 is an abundant number, since it is smaller than the sum of its proper divisors (2037952).

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

1395968 is an equidigital number, since it uses as much as digits as its factorization.

1395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 1395968 is about 1181.5108971144. The cubic root of 1395968 is about 111.7613968061.

The spelling of 1395968 in words is "one million, three hundred ninety-five thousand, nine hundred sixty-eight".