686380032 has 264 divisors, whose sum is σ = 2266618536. Its totient is φ = 198180864.

The previous prime is 686380031. The next prime is 686380039. The reversal of 686380032 is 230083686.

It can be written as a sum of positive squares in 4 ways, for example, as 34292736 + 652087296 = 5856^2 + 25536^2 .

It is a super-2 number, since 2×686380032² = 942235096656642048, 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 not an unprimeable number, because it can be changed into a prime (686380031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036568 + ... + 2036904.

Almost surely, 2^686380032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133309268).

686380032 is an abundant number, since it is smaller than the sum of its proper divisors (1580238504).

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

686380032 is a wasteful number, since it uses less digits than its factorization.

686380032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 686380032 is about 26198.8555475234. The cubic root of 686380032 is about 882.1075655135.

The spelling of 686380032 in words is "six hundred eighty-six million, three hundred eighty thousand, thirty-two".