1687041520 has 40 divisors (see below), whose sum is σ = 3933364320. Its totient is φ = 672925440.

The previous prime is 1687041511. The next prime is 1687041533. The reversal of 1687041520 is 251407861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1687041520³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 651 + ... + 58090.

It is an arithmetic number, because the mean of its divisors is an integer number (98334108).

Almost surely, 2^1687041520 is an apocalyptic number.

1687041520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687041520 is an abundant number, since it is smaller than the sum of its proper divisors (2246322800).

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

1687041520 is a wasteful number, since it uses less digits than its factorization.

1687041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59113 (or 59107 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1687041520 is about 41073.6109929478. The cubic root of 1687041520 is about 1190.4429582271.

The spelling of 1687041520 in words is "one billion, six hundred eighty-seven million, forty-one thousand, five hundred twenty".