677681344 has 56 divisors (see below), whose sum is σ = 1410736320. Its totient is φ = 322615296.

The previous prime is 677681327. The next prime is 677681351. The reversal of 677681344 is 443186776.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 677681294 and 677681303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108252 + ... + 114340.

It is an arithmetic number, because the mean of its divisors is an integer number (25191720).

Almost surely, 2^677681344 is an apocalyptic number.

677681344 is a gapful number since it is divisible by the number (64) 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 677681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705368160).

677681344 is an abundant number, since it is smaller than the sum of its proper divisors (733054976).

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

677681344 is a wasteful number, since it uses less digits than its factorization.

677681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185 (or 6175 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 677681344 is about 26032.3134584693. The cubic root of 677681344 is about 878.3653123927.

The spelling of 677681344 in words is "six hundred seventy-seven million, six hundred eighty-one thousand, three hundred forty-four".