675093120 has 512 divisors, whose sum is σ = 2578625280. Its totient is φ = 148635648.

The previous prime is 675093109. The next prime is 675093149. The reversal of 675093120 is 21390576.

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 63 ways as a sum of consecutive naturals, for example, 15699819 + ... + 15699861.

Almost surely, 2^675093120 is an apocalyptic number.

675093120 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 675093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289312640).

675093120 is an abundant number, since it is smaller than the sum of its proper divisors (1903532160).

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

675093120 is a wasteful number, since it uses less digits than its factorization.

675093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 675093120 is about 25982.5541469656. The cubic root of 675093120 is about 877.2456580582.

The spelling of 675093120 in words is "six hundred seventy-five million, ninety-three thousand, one hundred twenty".