677135568 has 80 divisors (see below), whose sum is σ = 1863630720. Its totient is φ = 211120128.

The previous prime is 677135527. The next prime is 677135593. The reversal of 677135568 is 865531776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133788 + ... + 138756.

It is an arithmetic number, because the mean of its divisors is an integer number (23295384).

Almost surely, 2^677135568 is an apocalyptic number.

677135568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677135568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931815360).

677135568 is an abundant number, since it is smaller than the sum of its proper divisors (1186495152).

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

677135568 is a wasteful number, since it uses less digits than its factorization.

677135568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5158 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 677135568 is about 26021.8286828578. The cubic root of 677135568 is about 878.1294495927.

The spelling of 677135568 in words is "six hundred seventy-seven million, one hundred thirty-five thousand, five hundred sixty-eight".