677657016 has 96 divisors (see below), whose sum is σ = 1910563200. Its totient is φ = 225024480.

The previous prime is 677657011. The next prime is 677657017. The reversal of 677657016 is 610756776.

677657016 is a `hidden beast` number, since 6 + 7 + 76 + 570 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677657011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697411 + ... + 698381.

It is an arithmetic number, because the mean of its divisors is an integer number (19901700).

Almost surely, 2^677657016 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 677657016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

677657016 is an abundant number, since it is smaller than the sum of its proper divisors (1232906184).

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

677657016 is a wasteful number, since it uses less digits than its factorization.

677657016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 677657016 is about 26031.8461888511. The cubic root of 677657016 is about 878.3548014905.

The spelling of 677657016 in words is "six hundred seventy-seven million, six hundred fifty-seven thousand, sixteen".