1688130360 has 288 divisors, whose sum is σ = 6464661840. Its totient is φ = 380878848.

The previous prime is 1688130359. The next prime is 1688130383. The reversal of 1688130360 is 630318861.

1688130360 is a `hidden beast` number, since 168 + 8 + 130 + 360 = 666.

1688130360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1688130360² = 5699568224707459200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1463544 + ... + 1464696.

Almost surely, 2^1688130360 is an apocalyptic number.

1688130360 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 1688130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232330920).

1688130360 is an abundant number, since it is smaller than the sum of its proper divisors (4776531480).

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

1688130360 is a wasteful number, since it uses less digits than its factorization.

1688130360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1688130360 is about 41086.8635940978. The cubic root of 1688130360 is about 1190.6990126144.

It can be divided in two parts, 168 and 8130360, that added together give a triangular number (8130528 = T₄₀₃₂).

The spelling of 1688130360 in words is "one billion, six hundred eighty-eight million, one hundred thirty thousand, three hundred sixty".