1679132160 has 320 divisors, whose sum is σ = 6319684800. Its totient is φ = 421134336.

The previous prime is 1679132149. The next prime is 1679132209. The reversal of 1679132160 is 612319761.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1174326 + ... + 1175754.

It is an arithmetic number, because the mean of its divisors is an integer number (19749015).

Almost surely, 2^1679132160 is an apocalyptic number.

1679132160 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 1679132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159842400).

1679132160 is an abundant number, since it is smaller than the sum of its proper divisors (4640552640).

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

1679132160 is a wasteful number, since it uses less digits than its factorization.

1679132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1679132160 is about 40977.2151323147. The cubic root of 1679132160 is about 1188.5796579453.

The spelling of 1679132160 in words is "one billion, six hundred seventy-nine million, one hundred thirty-two thousand, one hundred sixty".