677536 has 24 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 327360.

The previous prime is 677533. The next prime is 677539. The reversal of 677536 is 635776.

It is an interprime number because it is at equal distance from previous prime (677533) and next prime (677539).

It is a d-powerful number, because it can be written as 6⁷ + 7 + 5 + 7⁶ + 3 + 6⁷ .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (677531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 651 + ... + 1333.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

2⁶⁷⁷⁵³⁶ 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 677536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

677536 is an abundant number, since it is smaller than the sum of its proper divisors (701408).

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

677536 is a wasteful number, since it uses less digits than its factorization.

677536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The square root of 677536 is about 823.1257498098. The cubic root of 677536 is about 87.8302512840.

The spelling of 677536 in words is "six hundred seventy-seven thousand, five hundred thirty-six".