677634240 has 224 divisors, whose sum is σ = 2294046720. Its totient is φ = 168984576.

The previous prime is 677634227. The next prime is 677634247. The reversal of 677634240 is 42436776.

It is not an unprimeable number, because it can be changed into a prime (677634247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1769089 + ... + 1769471.

It is an arithmetic number, because the mean of its divisors is an integer number (10241280).

Almost surely, 2^677634240 is an apocalyptic number.

677634240 is a gapful number since it is divisible by the number (60) 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 677634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147023360).

677634240 is an abundant number, since it is smaller than the sum of its proper divisors (1616412480).

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

677634240 is a wasteful number, since it uses less digits than its factorization.

677634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 677634240 is about 26031.4087210047. The cubic root of 677634240 is about 878.3449609012.

The spelling of 677634240 in words is "six hundred seventy-seven million, six hundred thirty-four thousand, two hundred forty".