1875648000 has 160 divisors (see below), whose sum is σ = 6236699040. Its totient is φ = 500121600.

The previous prime is 1875647989. The next prime is 1875648007. The reversal of 1875648000 is 8465781.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1875648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1875648007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187116 + ... + 196884.

It is an arithmetic number, because the mean of its divisors is an integer number (38979369).

Almost surely, 2^1875648000 is an apocalyptic number.

1875648000 is a gapful number since it is divisible by the number (10) 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 1875648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118349520).

1875648000 is an abundant number, since it is smaller than the sum of its proper divisors (4361051040).

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

1875648000 is an frugal number, since it uses more digits than its factorization.

1875648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1875648000 is about 43308.7520023378. The cubic root of 1875648000 is about 1233.2480746193.

The spelling of 1875648000 in words is "one billion, eight hundred seventy-five million, six hundred forty-eight thousand".