1673001000 has 512 divisors, whose sum is σ = 6523545600. Its totient is φ = 393120000.

The previous prime is 1673000999. The next prime is 1673001041. The reversal of 1673001000 is 1003761.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12770935 + ... + 12771065.

It is an arithmetic number, because the mean of its divisors is an integer number (12741300).

Almost surely, 2^1673001000 is an apocalyptic number.

1673001000 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 1673001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261772800).

1673001000 is an abundant number, since it is smaller than the sum of its proper divisors (4850544600).

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

1673001000 is a wasteful number, since it uses less digits than its factorization.

1673001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1673001000 is about 40902.3348966780. The cubic root of 1673001000 is about 1187.1312391458.

Adding to 1673001000 its reverse (1003761), we get a palindrome (1674004761).

The spelling of 1673001000 in words is "one billion, six hundred seventy-three million, one thousand".