1687672960 has 128 divisors (see below), whose sum is σ = 4300536240. Its totient is φ = 631111680.

The previous prime is 1687672957. The next prime is 1687672969. The reversal of 1687672960 is 692767861.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 830822976 + 856849984 = 28824^2 + 29272^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1687672898 and 1687672907.

It is not an unprimeable number, because it can be changed into a prime (1687672969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1968852 + ... + 1969708.

Almost surely, 2^1687672960 is an apocalyptic number.

1687672960 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 1687672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150268120).

1687672960 is an abundant number, since it is smaller than the sum of its proper divisors (2612863280).

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

1687672960 is a wasteful number, since it uses less digits than its factorization.

1687672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The square root of 1687672960 is about 41081.2969610260. The cubic root of 1687672960 is about 1190.5914626808.

The spelling of 1687672960 in words is "one billion, six hundred eighty-seven million, six hundred seventy-two thousand, nine hundred sixty".