677988 has 36 divisors (see below), whose sum is σ = 1763580. Its totient is φ = 219456.

The previous prime is 677983. The next prime is 678023. The reversal of 677988 is 889776.

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 97344 = 762^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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

677988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078 + ... + 1586.

2⁶⁷⁷⁹⁸⁸ 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 677988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881790).

677988 is an abundant number, since it is smaller than the sum of its proper divisors (1085592).

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

677988 is a wasteful number, since it uses less digits than its factorization.

677988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 677988 is about 823.4002671848. The cubic root of 677988 is about 87.8497781425.

The spelling of 677988 in words is "six hundred seventy-seven thousand, nine hundred eighty-eight".