675948000 has 384 divisors, whose sum is σ = 2729825280. Its totient is φ = 142387200.

The previous prime is 675947981. The next prime is 675948041. The reversal of 675948000 is 849576.

It is a Cunningham number, because it is equal to 25999²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 675948000.

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 63 ways as a sum of consecutive naturals, for example, 1091691 + ... + 1092309.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^675948000 is an apocalyptic number.

675948000 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 675948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

675948000 is an abundant number, since it is smaller than the sum of its proper divisors (2053877280).

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

675948000 is a wasteful number, since it uses less digits than its factorization.

675948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 675948000 is about 25998.9999807685. Note that the first 4 decimals coincide. The cubic root of 675948000 is about 877.6157914098.

The spelling of 675948000 in words is "six hundred seventy-five million, nine hundred forty-eight thousand".