1687965696 has 104 divisors (see below), whose sum is σ = 5001096960. Its totient is φ = 562618368.

The previous prime is 1687965689. The next prime is 1687965701. The reversal of 1687965696 is 6965697861.

1687965696 is a `hidden beast` number, since 1 + 68 + 7 + 9 + 6 + 569 + 6 = 666.

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, 102961 + ... + 118223.

Almost surely, 2^1687965696 is an apocalyptic number.

1687965696 is a gapful number since it is divisible by the number (16) 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 1687965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500548480).

1687965696 is an abundant number, since it is smaller than the sum of its proper divisors (3313131264).

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

1687965696 is an equidigital number, since it uses as much as digits as its factorization.

1687965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 15268 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 1687965696 is about 41084.8596930792. The cubic root of 1687965696 is about 1190.6602968766.

The spelling of 1687965696 in words is "one billion, six hundred eighty-seven million, nine hundred sixty-five thousand, six hundred ninety-six".