675144288 has 384 divisors, whose sum is σ = 2510807040. Its totient is φ = 171694080.

The previous prime is 675144287. The next prime is 675144289. The reversal of 675144288 is 882441576.

It is an interprime number because it is at equal distance from previous prime (675144287) and next prime (675144289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675144287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2437206 + ... + 2437482.

It is an arithmetic number, because the mean of its divisors is an integer number (6538560).

Almost surely, 2^675144288 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 675144288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255403520).

675144288 is an abundant number, since it is smaller than the sum of its proper divisors (1835662752).

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

675144288 is a wasteful number, since it uses less digits than its factorization.

675144288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 675144288 is about 25983.5387890102. The cubic root of 675144288 is about 877.2678208140.

The spelling of 675144288 in words is "six hundred seventy-five million, one hundred forty-four thousand, two hundred eighty-eight".