675988320 has 288 divisors, whose sum is σ = 2541049056. Its totient is φ = 150528000.

The previous prime is 675988303. The next prime is 675988321. The reversal of 675988320 is 23889576.

675988320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 675988320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675988321) 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 47 ways as a sum of consecutive naturals, for example, 963970 + ... + 964670.

It is an arithmetic number, because the mean of its divisors is an integer number (8823087).

Almost surely, 2^675988320 is an apocalyptic number.

675988320 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 675988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270524528).

675988320 is an abundant number, since it is smaller than the sum of its proper divisors (1865060736).

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

675988320 is a wasteful number, since it uses less digits than its factorization.

675988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 675988320 is about 25999.7753836451. The cubic root of 675988320 is about 877.6332408612.

The spelling of 675988320 in words is "six hundred seventy-five million, nine hundred eighty-eight thousand, three hundred twenty".