675858120 has 512 divisors, whose sum is σ = 2687385600. Its totient is φ = 132268032.

The previous prime is 675858107. The next prime is 675858121. The reversal of 675858120 is 21858576.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (675858121) 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 127 ways as a sum of consecutive naturals, for example, 12752014 + ... + 12752066.

It is an arithmetic number, because the mean of its divisors is an integer number (5248800).

Almost surely, 2^675858120 is an apocalyptic number.

675858120 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 675858120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343692800).

675858120 is an abundant number, since it is smaller than the sum of its proper divisors (2011527480).

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

675858120 is a wasteful number, since it uses less digits than its factorization.

675858120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 675858120 is about 25997.2713952830. The cubic root of 675858120 is about 877.5768911770.

The spelling of 675858120 in words is "six hundred seventy-five million, eight hundred fifty-eight thousand, one hundred twenty".