686875140 has 360 divisors, whose sum is σ = 2659207320. Its totient is φ = 147474432.

The previous prime is 686875129. The next prime is 686875159. The reversal of 686875140 is 41578686.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 442765764 = 15624^2 + 21042^2 .

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1349206 + ... + 1349714.

It is an arithmetic number, because the mean of its divisors is an integer number (7386687).

Almost surely, 2^686875140 is an apocalyptic number.

686875140 is a gapful number since it is divisible by the number (60) 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 686875140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329603660).

686875140 is an abundant number, since it is smaller than the sum of its proper divisors (1972332180).

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

686875140 is a wasteful number, since it uses less digits than its factorization.

686875140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 686875140 is about 26208.3028828652. The cubic root of 686875140 is about 882.3196120587.

It can be divided in two parts, 686 and 875140, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 686875140 in words is "six hundred eighty-six million, eight hundred seventy-five thousand, one hundred forty".