1688603040 has 288 divisors, whose sum is σ = 6070283856. Its totient is φ = 426885120.

The previous prime is 1688602973. The next prime is 1688603041. The reversal of 1688603040 is 403068861.

It is a happy number.

1688603040 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 603 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 249766416 + 1438836624 = 15804^2 + 37932^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1688602986 and 1688603004.

It is not an unprimeable number, because it can be changed into a prime (1688603041) 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 47 ways as a sum of consecutive naturals, for example, 2184094 + ... + 2184866.

Almost surely, 2^1688603040 is an apocalyptic number.

1688603040 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 1688603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035141928).

1688603040 is an abundant number, since it is smaller than the sum of its proper divisors (4381680816).

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

1688603040 is a wasteful number, since it uses less digits than its factorization.

1688603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1688603040 is about 41092.6153949831. The cubic root of 1688603040 is about 1190.8101349741.

The spelling of 1688603040 in words is "one billion, six hundred eighty-eight million, six hundred three thousand, forty".