1670380160 has 64 divisors (see below), whose sum is σ = 4048067880. Its totient is φ = 658980864.

The previous prime is 1670380157. The next prime is 1670380177. The reversal of 1670380160 is 610830761.

It can be written as a sum of positive squares in 4 ways, for example, as 1613468224 + 56911936 = 40168^2 + 7544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28844 + ... + 64596.

Almost surely, 2^1670380160 is an apocalyptic number.

1670380160 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 1670380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024033940).

1670380160 is an abundant number, since it is smaller than the sum of its proper divisors (2377687720).

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

1670380160 is an equidigital number, since it uses as much as digits as its factorization.

1670380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35845 (or 35833 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1670380160 is about 40870.2845598119. The cubic root of 1670380160 is about 1186.5110149476.

The spelling of 1670380160 in words is "one billion, six hundred seventy million, three hundred eighty thousand, one hundred sixty".