1670005000 has 80 divisors (see below), whose sum is σ = 4118994000. Its totient is φ = 632808000.

The previous prime is 1670004997. The next prime is 1670005039. The reversal of 1670005000 is 5000761.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86211 + ... + 103789.

It is an arithmetic number, because the mean of its divisors is an integer number (51487425).

Almost surely, 2^1670005000 is an apocalyptic number.

1670005000 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 1670005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059497000).

1670005000 is an abundant number, since it is smaller than the sum of its proper divisors (2448989000).

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

1670005000 is a wasteful number, since it uses less digits than its factorization.

1670005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17624 (or 17605 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1670005000 is about 40865.6946594573. The cubic root of 1670005000 is about 1186.4221799203.

Adding to 1670005000 its reverse (5000761), we get a palindrome (1675005761).

The spelling of 1670005000 in words is "one billion, six hundred seventy million, five thousand".