160527312 has 240 divisors, whose sum is σ = 526424640. Its totient is φ = 46759680.

The previous prime is 160527307. The next prime is 160527313. The reversal of 160527312 is 213725061.

It is a happy number.

160527312 is a `hidden beast` number, since 1 + 605 + 27 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160527313) 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 47 ways as a sum of consecutive naturals, for example, 1934023 + ... + 1934105.

It is an arithmetic number, because the mean of its divisors is an integer number (2193436).

Almost surely, 2^160527312 is an apocalyptic number.

160527312 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 160527312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263212320).

160527312 is an abundant number, since it is smaller than the sum of its proper divisors (365897328).

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

160527312 is a wasteful number, since it uses less digits than its factorization.

160527312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 160527312 is about 12669.9373321260. The cubic root of 160527312 is about 543.4792630803.

The spelling of 160527312 in words is "one hundred sixty million, five hundred twenty-seven thousand, three hundred twelve".