1670168160 has 432 divisors, whose sum is σ = 6219669456. Its totient is φ = 423263232.

The previous prime is 1670168141. The next prime is 1670168177. The reversal of 1670168160 is 618610761.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38841099 + ... + 38841141.

It is an arithmetic number, because the mean of its divisors is an integer number (14397383).

Almost surely, 2^1670168160 is an apocalyptic number.

1670168160 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 1670168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109834728).

1670168160 is an abundant number, since it is smaller than the sum of its proper divisors (4549501296).

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

1670168160 is an frugal number, since it uses more digits than its factorization.

1670168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1670168160 is about 40867.6909061425. The cubic root of 1670168160 is about 1186.4608165988.

The spelling of 1670168160 in words is "one billion, six hundred seventy million, one hundred sixty-eight thousand, one hundred sixty".