1687242960 has 200 divisors, whose sum is σ = 6311132520. Its totient is φ = 415300608.

The previous prime is 1687242923. The next prime is 1687242967. The reversal of 1687242960 is 692427861.

It is a happy number.

1687242960 is a `hidden beast` number, since 168 + 7 + 2 + 429 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 1687237776 = 72^2 + 41076^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687242967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74226 + ... + 94254.

Almost surely, 2^1687242960 is an apocalyptic number.

1687242960 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 1687242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155566260).

1687242960 is an abundant number, since it is smaller than the sum of its proper divisors (4623889560).

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

1687242960 is a wasteful number, since it uses less digits than its factorization.

1687242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20067 (or 20052 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1687242960 is about 41076.0631024932. The cubic root of 1687242960 is about 1190.4903376747.

The spelling of 1687242960 in words is "one billion, six hundred eighty-seven million, two hundred forty-two thousand, nine hundred sixty".