1696968000 has 1008 divisors, whose sum is σ = 7810128144. Its totient is φ = 348364800.

The previous prime is 1696967989. The next prime is 1696968011. The reversal of 1696968000 is 8696961.

It is an interprime number because it is at equal distance from previous prime (1696967989) and next prime (1696968011).

It can be written as a sum of positive squares in 8 ways, for example, as 499254336 + 1197713664 = 22344^2 + 34608^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 45863982 + ... + 45864018.

It is an arithmetic number, because the mean of its divisors is an integer number (7748143).

Almost surely, 2^1696968000 is an apocalyptic number.

1696968000 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 1696968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905064072).

1696968000 is an abundant number, since it is smaller than the sum of its proper divisors (6113160144).

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

1696968000 is a wasteful number, since it uses less digits than its factorization.

1696968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1696968000 is about 41194.2714464038. The cubic root of 1696968000 is about 1192.7732322235.

The spelling of 1696968000 in words is "one billion, six hundred ninety-six million, nine hundred sixty-eight thousand".