677688 has 64 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 192000.

The previous prime is 677687. The next prime is 677717. The reversal of 677688 is 886776.

677688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×677688² = 918522050688, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677688.

It is not an unprimeable number, because it can be changed into a prime (677681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4413 + ... + 4563.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁶⁷⁷⁶⁸⁸ is an apocalyptic number.

677688 is a gapful number since it is divisible by the number (68) 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 677688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

677688 is an abundant number, since it is smaller than the sum of its proper divisors (1292232).

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

677688 is a wasteful number, since it uses less digits than its factorization.

677688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 677688 is about 823.2180756033. The cubic root of 677688 is about 87.8368188071.

It can be divided in two parts, 67768 and 8, that added together give a palindrome (67776).

The spelling of 677688 in words is "six hundred seventy-seven thousand, six hundred eighty-eight".