674627688 has 144 divisors (see below), whose sum is σ = 2175338880. Its totient is φ = 188225856.

The previous prime is 674627687. The next prime is 674627713. The reversal of 674627688 is 886726476.

674627688 is a `hidden beast` number, since 6 + 7 + 4 + 627 + 6 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674627687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149481 + ... + 153927.

It is an arithmetic number, because the mean of its divisors is an integer number (15106520).

Almost surely, 2^674627688 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 674627688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087669440).

674627688 is an abundant number, since it is smaller than the sum of its proper divisors (1500711192).

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

674627688 is a wasteful number, since it uses less digits than its factorization.

674627688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4502 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 674627688 is about 25973.5959774537. The cubic root of 674627688 is about 877.0440107809.

The spelling of 674627688 in words is "six hundred seventy-four million, six hundred twenty-seven thousand, six hundred eighty-eight".