686264832 has 160 divisors (see below), whose sum is σ = 2216554560. Its totient is φ = 207912960.

The previous prime is 686264827. The next prime is 686264837. The reversal of 686264832 is 238462686.

It is an interprime number because it is at equal distance from previous prime (686264827) and next prime (686264837).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686264837) 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 15 ways as a sum of consecutive naturals, for example, 149808 + ... + 154320.

It is an arithmetic number, because the mean of its divisors is an integer number (13853466).

Almost surely, 2^686264832 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 686264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108277280).

686264832 is an abundant number, since it is smaller than the sum of its proper divisors (1530289728).

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

686264832 is a wasteful number, since it uses less digits than its factorization.

686264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4529 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 686264832 is about 26196.6568859463. The cubic root of 686264832 is about 882.0582126417.

The spelling of 686264832 in words is "six hundred eighty-six million, two hundred sixty-four thousand, eight hundred thirty-two".