1670165280 has 288 divisors, whose sum is σ = 6613536384. Its totient is φ = 375902208.

The previous prime is 1670165201. The next prime is 1670165281. The reversal of 1670165280 is 825610761.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1670165281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674124 + ... + 676596.

It is an arithmetic number, because the mean of its divisors is an integer number (22963668).

Almost surely, 2^1670165280 is an apocalyptic number.

1670165280 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 1670165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306768192).

1670165280 is an abundant number, since it is smaller than the sum of its proper divisors (4943371104).

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

1670165280 is a wasteful number, since it uses less digits than its factorization.

1670165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1670165280 is about 40867.6556704688. The cubic root of 1670165280 is about 1186.4601346298.

The spelling of 1670165280 in words is "one billion, six hundred seventy million, one hundred sixty-five thousand, two hundred eighty".