675940320 has 288 divisors, whose sum is σ = 2542700160. Its totient is φ = 162155520.

The previous prime is 675940313. The next prime is 675940351. The reversal of 675940320 is 23049576.

675940320 is a `hidden beast` number, since 67 + 594 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 2201607 + ... + 2201913.

It is an arithmetic number, because the mean of its divisors is an integer number (8828820).

Almost surely, 2^675940320 is an apocalyptic number.

675940320 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 675940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271350080).

675940320 is an abundant number, since it is smaller than the sum of its proper divisors (1866759840).

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

675940320 is a wasteful number, since it uses less digits than its factorization.

675940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 675940320 is about 25998.8522823605. The cubic root of 675940320 is about 877.6124676261.

Adding to 675940320 its reverse (23049576), we get a palindrome (698989896).

The spelling of 675940320 in words is "six hundred seventy-five million, nine hundred forty thousand, three hundred twenty".