1687949000 has 32 divisors (see below), whose sum is σ = 3949803000. Its totient is φ = 675179200.

The previous prime is 1687948963. The next prime is 1687949009. The reversal of 1687949000 is 9497861.

It can be written as a sum of positive squares in 4 ways, for example, as 243796996 + 1444152004 = 15614^2 + 38002^2 .

It is not an unprimeable number, because it can be changed into a prime (1687949009) 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 7 ways as a sum of consecutive naturals, for example, 842975 + ... + 844974.

Almost surely, 2^1687949000 is an apocalyptic number.

1687949000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687949000 is an abundant number, since it is smaller than the sum of its proper divisors (2261854000).

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

1687949000 is a wasteful number, since it uses less digits than its factorization.

1687949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687970 (or 1687956 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 1687949000 is about 41084.6565033712. The cubic root of 1687949000 is about 1190.6563711787.

The spelling of 1687949000 in words is "one billion, six hundred eighty-seven million, nine hundred forty-nine thousand".