160416040 has 64 divisors (see below), whose sum is σ = 369470160. Its totient is φ = 62668800.

The previous prime is 160416013. The next prime is 160416049. The reversal of 160416040 is 40614061.

It can be written as a sum of positive squares in 8 ways, for example, as 131836324 + 28579716 = 11482^2 + 5346^2 .

It is not an unprimeable number, because it can be changed into a prime (160416049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399840 + ... + 400240.

Almost surely, 2^160416040 is an apocalyptic number.

160416040 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 160416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184735080).

160416040 is an abundant number, since it is smaller than the sum of its proper divisors (209054120).

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

160416040 is a wasteful number, since it uses less digits than its factorization.

160416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 160416040 is about 12665.5453889677. The cubic root of 160416040 is about 543.3536603567.

The spelling of 160416040 in words is "one hundred sixty million, four hundred sixteen thousand, forty".