160541856 has 72 divisors (see below), whose sum is σ = 458033940. Its totient is φ = 53339136.

The previous prime is 160541807. The next prime is 160541879. The reversal of 160541856 is 658145061.

160541856 is a `hidden beast` number, since 1 + 60 + 541 + 8 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160275600 + 266256 = 12660^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 160541856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111316 + ... + 112748.

Almost surely, 2^160541856 is an apocalyptic number.

160541856 is a gapful number since it is divisible by the number (16) 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 160541856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229016970).

160541856 is an abundant number, since it is smaller than the sum of its proper divisors (297492084).

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

160541856 is a wasteful number, since it uses less digits than its factorization.

160541856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 160541856 is about 12670.5112761877. The cubic root of 160541856 is about 543.4956759129.

The spelling of 160541856 in words is "one hundred sixty million, five hundred forty-one thousand, eight hundred fifty-six".