1687819680 has 144 divisors (see below), whose sum is σ = 5973143904. Its totient is φ = 450074880.

The previous prime is 1687819669. The next prime is 1687819709. The reversal of 1687819680 is 869187861.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17175 + ... + 60585.

It is an arithmetic number, because the mean of its divisors is an integer number (41480166).

Almost surely, 2^1687819680 is an apocalyptic number.

1687819680 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 1687819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986571952).

1687819680 is an abundant number, since it is smaller than the sum of its proper divisors (4285324224).

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

1687819680 is an equidigital number, since it uses as much as digits as its factorization.

1687819680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43441 (or 43421 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1687819680 is about 41083.0826496747. The cubic root of 1687819680 is about 1190.6259635431.

The spelling of 1687819680 in words is "one billion, six hundred eighty-seven million, eight hundred nineteen thousand, six hundred eighty".