1795968 has 48 divisors (see below), whose sum is σ = 5171400. Its totient is φ = 598272.

The previous prime is 1795967. The next prime is 1795979. The reversal of 1795968 is 8695971.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1795961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 373 + ... + 1931.

2^1795968 is an apocalyptic number.

1795968 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 1795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585700).

1795968 is an abundant number, since it is smaller than the sum of its proper divisors (3375432).

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

1795968 is a wasteful number, since it uses less digits than its factorization.

1795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1564 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1795968 is about 1340.1373063981. The cubic root of 1795968 is about 121.5531444592.

The spelling of 1795968 in words is "one million, seven hundred ninety-five thousand, nine hundred sixty-eight".