1670031360 has 144 divisors (see below), whose sum is σ = 5788348020. Its totient is φ = 445317120.

The previous prime is 1670031317. The next prime is 1670031379. The reversal of 1670031360 is 631300761.

It can be written as a sum of positive squares in 2 ways, for example, as 1633453056 + 36578304 = 40416^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83100 + ... + 101220.

Almost surely, 2^1670031360 is an apocalyptic number.

1670031360 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 1670031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894174010).

1670031360 is an abundant number, since it is smaller than the sum of its proper divisors (4118316660).

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

1670031360 is a wasteful number, since it uses less digits than its factorization.

1670031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18154 (or 18131 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1670031360 is about 40866.0171780906. The cubic root of 1670031360 is about 1186.4284222018.

The spelling of 1670031360 in words is "one billion, six hundred seventy million, thirty-one thousand, three hundred sixty".