686742624 has 120 divisors (see below), whose sum is σ = 2058210000. Its totient is φ = 224550144.

The previous prime is 686742611. The next prime is 686742653. The reversal of 686742624 is 426247686.

686742624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 686742624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134877 + ... + 139875.

It is an arithmetic number, because the mean of its divisors is an integer number (17151750).

Almost surely, 2^686742624 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 686742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029105000).

686742624 is an abundant number, since it is smaller than the sum of its proper divisors (1371467376).

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

686742624 is a wasteful number, since it uses less digits than its factorization.

686742624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5057 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 686742624 is about 26205.7746307946. The cubic root of 686742624 is about 882.2628676430.

The spelling of 686742624 in words is "six hundred eighty-six million, seven hundred forty-two thousand, six hundred twenty-four".