160460800 has 78 divisors (see below), whose sum is σ = 398148128. Its totient is φ = 64143360.

The previous prime is 160460767. The next prime is 160460801. The reversal of 160460800 is 8064061.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160460801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101617 + ... + 103183.

Almost surely, 2^160460800 is an apocalyptic number.

160460800 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 160460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199074064).

160460800 is an abundant number, since it is smaller than the sum of its proper divisors (237687328).

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

160460800 is an equidigital number, since it uses as much as digits as its factorization.

160460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 160460800 is about 12667.3122642493. The cubic root of 160460800 is about 543.4041919789.

The spelling of 160460800 in words is "one hundred sixty million, four hundred sixty thousand, eight hundred".