686005632 has 128 divisors (see below), whose sum is σ = 2180556000. Its totient is φ = 211064832.

The previous prime is 686005589. The next prime is 686005633. The reversal of 686005632 is 236500686.

It is a tau number, because it is divible by the number of its divisors (128).

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 (686005633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37294 + ... + 52562.

Almost surely, 2^686005632 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 686005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090278000).

686005632 is an abundant number, since it is smaller than the sum of its proper divisors (1494550368).

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

686005632 is a wasteful number, since it uses less digits than its factorization.

686005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15305 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 686005632 is about 26191.7092225765. The cubic root of 686005632 is about 881.9471484829.

The spelling of 686005632 in words is "six hundred eighty-six million, five thousand, six hundred thirty-two".