1687090540 has 48 divisors (see below), whose sum is σ = 3757616352. Its totient is φ = 634070016.

The previous prime is 1687090529. The next prime is 1687090547. The reversal of 1687090540 is 450907861.

It is a junction number, because it is equal to n+sod(n) for n = 1687090493 and 1687090502.

It is not an unprimeable number, because it can be changed into a prime (1687090547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214762 + ... + 222478.

It is an arithmetic number, because the mean of its divisors is an integer number (78283674).

Almost surely, 2^1687090540 is an apocalyptic number.

1687090540 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 1687090540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878808176).

1687090540 is an abundant number, since it is smaller than the sum of its proper divisors (2070525812).

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

1687090540 is a wasteful number, since it uses less digits than its factorization.

1687090540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1687090540 is about 41074.2077221217. The cubic root of 1687090540 is about 1190.4544882632.

The spelling of 1687090540 in words is "one billion, six hundred eighty-seven million, ninety thousand, five hundred forty".