686848512 has 160 divisors (see below), whose sum is σ = 2111864832. Its totient is φ = 194310144.

The previous prime is 686848507. The next prime is 686848543. The reversal of 686848512 is 215848686.

It is a happy number.

It is a super-3 number, since 3×686848512³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1365253 + ... + 1365755.

Almost surely, 2^686848512 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 686848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055932416).

686848512 is an abundant number, since it is smaller than the sum of its proper divisors (1425016320).

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

686848512 is a wasteful number, since it uses less digits than its factorization.

686848512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 686848512 is about 26207.7948709921. The cubic root of 686848512 is about 882.3082103212.

The spelling of 686848512 in words is "six hundred eighty-six million, eight hundred forty-eight thousand, five hundred twelve".