160581120 has 320 divisors, whose sum is σ = 612817920. Its totient is φ = 35094528.

The previous prime is 160581119. The next prime is 160581121. The reversal of 160581120 is 21185061.

160581120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (160581119) and next prime (160581121).

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

It is a super-2 number, since 2×160581120² = 51572592200908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160581121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558989 + ... + 1559091.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^160581120 is an apocalyptic number.

160581120 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 160581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

160581120 is an abundant number, since it is smaller than the sum of its proper divisors (452236800).

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

160581120 is a wasteful number, since it uses less digits than its factorization.

160581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 160581120 is about 12672.0606059157. The cubic root of 160581120 is about 543.5399801944.

The spelling of 160581120 in words is "one hundred sixty million, five hundred eighty-one thousand, one hundred twenty".