677984 has 12 divisors (see below), whose sum is σ = 1334844. Its totient is φ = 338976.

The previous prime is 677983. The next prime is 678023. The reversal of 677984 is 489776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10562 + ... + 10625.

It is an arithmetic number, because the mean of its divisors is an integer number (111237).

2⁶⁷⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

677984 is a deficient number, since it is larger than the sum of its proper divisors (656860).

677984 is a wasteful number, since it uses less digits than its factorization.

677984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21197 (or 21189 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 677984 is about 823.3978382289. The cubic root of 677984 is about 87.8496053765.

It can be divided in two parts, 677 and 984, that added together give a palindrome (1661).

The spelling of 677984 in words is "six hundred seventy-seven thousand, nine hundred eighty-four".