160581312 has 224 divisors, whose sum is σ = 511251200. Its totient is φ = 49268736.

The previous prime is 160581301. The next prime is 160581313. The reversal of 160581312 is 213185061.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (160581313) 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, 2199708 + ... + 2199780.

Almost surely, 2^160581312 is an apocalyptic number.

160581312 is a gapful number since it is divisible by the number (12) 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 160581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255625600).

160581312 is an abundant number, since it is smaller than the sum of its proper divisors (350669888).

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

160581312 is a wasteful number, since it uses less digits than its factorization.

160581312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 160581312 is about 12672.0681816348. The cubic root of 160581312 is about 543.5401968235.

The spelling of 160581312 in words is "one hundred sixty million, five hundred eighty-one thousand, three hundred twelve".