686752920 has 384 divisors, whose sum is σ = 2695680000. Its totient is φ = 148331520.

The previous prime is 686752903. The next prime is 686752933. The reversal of 686752920 is 29257686.

686752920 is a `hidden beast` number, since 68 + 67 + 529 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4609006 + ... + 4609154.

It is an arithmetic number, because the mean of its divisors is an integer number (7020000).

Almost surely, 2^686752920 is an apocalyptic number.

686752920 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 686752920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347840000).

686752920 is an abundant number, since it is smaller than the sum of its proper divisors (2008927080).

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

686752920 is a wasteful number, since it uses less digits than its factorization.

686752920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 686752920 is about 26205.9710753103. The cubic root of 686752920 is about 882.2672767344.

The spelling of 686752920 in words is "six hundred eighty-six million, seven hundred fifty-two thousand, nine hundred twenty".