160688640 has 320 divisors, whose sum is σ = 608889600. Its totient is φ = 36126720.

The previous prime is 160688639. The next prime is 160688651. The reversal of 160688640 is 46886061.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634210 + ... + 2634270.

It is an arithmetic number, because the mean of its divisors is an integer number (1902780).

Almost surely, 2^160688640 is an apocalyptic number.

160688640 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 160688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304444800).

160688640 is an abundant number, since it is smaller than the sum of its proper divisors (448200960).

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

160688640 is an frugal number, since it uses more digits than its factorization.

160688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 160688640 is about 12676.3022999611. The cubic root of 160688640 is about 543.6612654779.

The spelling of 160688640 in words is "one hundred sixty million, six hundred eighty-eight thousand, six hundred forty".