160800040 has 64 divisors (see below), whose sum is σ = 383356800. Its totient is φ = 60532992.

The previous prime is 160800037. The next prime is 160800043. The reversal of 160800040 is 40008061.

It is an interprime number because it is at equal distance from previous prime (160800037) and next prime (160800043).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 160799990 and 160800017.

It is not an unprimeable number, because it can be changed into a prime (160800043) 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 15 ways as a sum of consecutive naturals, for example, 130869 + ... + 132091.

It is an arithmetic number, because the mean of its divisors is an integer number (5989950).

Almost surely, 2^160800040 is an apocalyptic number.

160800040 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 160800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191678400).

160800040 is an abundant number, since it is smaller than the sum of its proper divisors (222556760).

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

160800040 is a wasteful number, since it uses less digits than its factorization.

160800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 160800040 is about 12680.6955645185. The cubic root of 160800040 is about 543.7868704465.

The spelling of 160800040 in words is "one hundred sixty million, eight hundred thousand, forty".