160475040 has 288 divisors, whose sum is σ = 619375680. Its totient is φ = 38776320.

The previous prime is 160475039. The next prime is 160475047. The reversal of 160475040 is 40574061.

160475040 is a `hidden beast` number, since 1 + 604 + 7 + 50 + 4 + 0 = 666.

160475040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 160474995 and 160475013.

It is not an unprimeable number, because it can be changed into a prime (160475047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 522567 + ... + 522873.

It is an arithmetic number, because the mean of its divisors is an integer number (2150610).

Almost surely, 2^160475040 is an apocalyptic number.

160475040 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 160475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309687840).

160475040 is an abundant number, since it is smaller than the sum of its proper divisors (458900640).

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

160475040 is a wasteful number, since it uses less digits than its factorization.

160475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 160475040 is about 12667.8743283946. The cubic root of 160475040 is about 543.4202661993.

The spelling of 160475040 in words is "one hundred sixty million, four hundred seventy-five thousand, forty".