1670481000 has 192 divisors, whose sum is σ = 5673816720. Its totient is φ = 443289600.

The previous prime is 1670480989. The next prime is 1670481019. The reversal of 1670481000 is 1840761.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21958596 + 1648522404 = 4686^2 + 40602^2 .

It is a super-2 number, since 2×1670481000² = 5581013542722000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2816704 + ... + 2817296.

Almost surely, 2^1670481000 is an apocalyptic number.

1670481000 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 1670481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836908360).

1670481000 is an abundant number, since it is smaller than the sum of its proper divisors (4003335720).

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

1670481000 is a wasteful number, since it uses less digits than its factorization.

1670481000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1670481000 is about 40871.5182003311. The cubic root of 1670481000 is about 1186.5348908225.

The spelling of 1670481000 in words is "one billion, six hundred seventy million, four hundred eighty-one thousand".