160628000 has 96 divisors (see below), whose sum is σ = 425159280. Its totient is φ = 59289600.

The previous prime is 160627997. The next prime is 160628003. The reversal of 160628000 is 826061.

It is an interprime number because it is at equal distance from previous prime (160627997) and next prime (160628003).

It can be written as a sum of positive squares in 8 ways, for example, as 8549776 + 152078224 = 2924^2 + 12332^2 .

It is not an unprimeable number, because it can be changed into a prime (160628003) 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 15 ways as a sum of consecutive naturals, for example, 50456 + ... + 53544.

Almost surely, 2^160628000 is an apocalyptic number.

160628000 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 160628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212579640).

160628000 is an abundant number, since it is smaller than the sum of its proper divisors (264531280).

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

160628000 is a wasteful number, since it uses less digits than its factorization.

160628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 160628000 is about 12673.9102095604. The cubic root of 160628000 is about 543.5928686764.

The spelling of 160628000 in words is "one hundred sixty million, six hundred twenty-eight thousand".