677131686 has 144 divisors (see below), whose sum is σ = 1889941248. Its totient is φ = 173224800.

The previous prime is 677131597. The next prime is 677131691. The reversal of 677131686 is 686131776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 688351 + ... + 689333.

It is an arithmetic number, because the mean of its divisors is an integer number (13124592).

Almost surely, 2^677131686 is an apocalyptic number.

677131686 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 677131686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944970624).

677131686 is an abundant number, since it is smaller than the sum of its proper divisors (1212809562).

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

677131686 is a wasteful number, since it uses less digits than its factorization.

677131686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 677131686 is about 26021.7540915289. The cubic root of 677131686 is about 878.1277714920.

The spelling of 677131686 in words is "six hundred seventy-seven million, one hundred thirty-one thousand, six hundred eighty-six".