677552 has 40 divisors (see below), whose sum is σ = 1446336. Its totient is φ = 306176.

The previous prime is 677543. The next prime is 677561. The reversal of 677552 is 255776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (677543) and next prime (677561).

It is a congruent number.

It is an unprimeable number.

677552 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 7 ways as a sum of consecutive naturals, for example, 12758 + ... + 12810.

2⁶⁷⁷⁵⁵² 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 677552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723168).

677552 is an abundant number, since it is smaller than the sum of its proper divisors (768784).

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

677552 is a wasteful number, since it uses less digits than its factorization.

677552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 14700, while the sum is 32.

The square root of 677552 is about 823.1354688021. The cubic root of 677552 is about 87.8309426485.

The spelling of 677552 in words is "six hundred seventy-seven thousand, five hundred fifty-two".