1687669560 has 128 divisors (see below), whose sum is σ = 5956545600. Its totient is φ = 423567360.

The previous prime is 1687669559. The next prime is 1687669583. The reversal of 1687669560 is 659667861.

1687669560 is a `hidden beast` number, since 1 + 6 + 8 + 76 + 6 + 9 + 560 = 666.

1687669560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1687669497 and 1687669506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27601 + ... + 64320.

Almost surely, 2^1687669560 is an apocalyptic number.

1687669560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687669560 is an abundant number, since it is smaller than the sum of its proper divisors (4268876040).

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

1687669560 is a wasteful number, since it uses less digits than its factorization.

1687669560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91958 (or 91948 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 1687669560 is about 41081.2555796436. The cubic root of 1687669560 is about 1190.5906631551.

It can be divided in two parts, 16876 and 69560, that added together give a square (86436 = 294²).

The spelling of 1687669560 in words is "one billion, six hundred eighty-seven million, six hundred sixty-nine thousand, five hundred sixty".