1687462680 has 128 divisors (see below), whose sum is σ = 5300121600. Its totient is φ = 429273600.

The previous prime is 1687462669. The next prime is 1687462691. The reversal of 1687462680 is 862647861.

It is an interprime number because it is at equal distance from previous prime (1687462669) and next prime (1687462691).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 260926 + ... + 267314.

It is an arithmetic number, because the mean of its divisors is an integer number (41407200).

Almost surely, 2^1687462680 is an apocalyptic number.

1687462680 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 1687462680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650060800).

1687462680 is an abundant number, since it is smaller than the sum of its proper divisors (3612658920).

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

1687462680 is a wasteful number, since it uses less digits than its factorization.

1687462680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 1687462680 is about 41078.7375658016. The cubic root of 1687462680 is about 1190.5420123474.

The spelling of 1687462680 in words is "one billion, six hundred eighty-seven million, four hundred sixty-two thousand, six hundred eighty".