677248 has 64 divisors (see below), whose sum is σ = 1627920. Its totient is φ = 276480.

The previous prime is 677239. The next prime is 677309. The reversal of 677248 is 842776.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

677248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 18286 + ... + 18322.

2⁶⁷⁷²⁴⁸ 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 677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813960).

677248 is an abundant number, since it is smaller than the sum of its proper divisors (950672).

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

677248 is a wasteful number, since it uses less digits than its factorization.

677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 677248 is about 822.9507883221. The cubic root of 677248 is about 87.8178048618.

The spelling of 677248 in words is "six hundred seventy-seven thousand, two hundred forty-eight".