160825680 has 120 divisors (see below), whose sum is σ = 554795592. Its totient is φ = 41720832.

The previous prime is 160825663. The next prime is 160825727. The reversal of 160825680 is 86528061.

It is a happy number.

160825680 is a `hidden beast` number, since 16 + 0 + 82 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 138015504 = 4776^2 + 11748^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 23622 + ... + 29658.

Almost surely, 2^160825680 is an apocalyptic number.

160825680 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 160825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277397796).

160825680 is an abundant number, since it is smaller than the sum of its proper divisors (393969912).

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

160825680 is a wasteful number, since it uses less digits than its factorization.

160825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 160825680 is about 12681.7065097723. The cubic root of 160825680 is about 543.8157716714.

The spelling of 160825680 in words is "one hundred sixty million, eight hundred twenty-five thousand, six hundred eighty".