1681875000 has 384 divisors, whose sum is σ = 6398421120. Its totient is φ = 396000000.

The previous prime is 1681874989. The next prime is 1681875029. The reversal of 1681875000 is 5781861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73124989 + ... + 73125011.

It is an arithmetic number, because the mean of its divisors is an integer number (16662555).

Almost surely, 2^1681875000 is an apocalyptic number.

1681875000 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 1681875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199210560).

1681875000 is an abundant number, since it is smaller than the sum of its proper divisors (4716546120).

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

1681875000 is an equidigital number, since it uses as much as digits as its factorization.

1681875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1681875000 is about 41010.6693434769. The cubic root of 1681875000 is about 1189.2264822224.

The spelling of 1681875000 in words is "one billion, six hundred eighty-one million, eight hundred seventy-five thousand".