1696000 has 72 divisors (see below), whose sum is σ = 4304664. Its totient is φ = 665600.

The previous prime is 1695989. The next prime is 1696001. The reversal of 1696000 is 6961.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 1679616 = 128^2 + 1296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1696001) 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 7 ways as a sum of consecutive naturals, for example, 31974 + ... + 32026.

It is an arithmetic number, because the mean of its divisors is an integer number (59787).

2^1696000 is an apocalyptic number.

1696000 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 1696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152332).

1696000 is an abundant number, since it is smaller than the sum of its proper divisors (2608664).

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

1696000 is an frugal number, since it uses more digits than its factorization.

1696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1696000 is about 1302.3056476880. The cubic root of 1696000 is about 119.2546391549.

The spelling of 1696000 in words is "one million, six hundred ninety-six thousand".