803612160 has 240 divisors, whose sum is σ = 2998339344. Its totient is φ = 197738496.

The previous prime is 803612141. The next prime is 803612167. The reversal of 803612160 is 61216308.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803612167) 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 23 ways as a sum of consecutive naturals, for example, 298179 + ... + 300861.

Almost surely, 2^803612160 is an apocalyptic number.

803612160 is a gapful number since it is divisible by the number (80) 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 803612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499169672).

803612160 is an abundant number, since it is smaller than the sum of its proper divisors (2194727184).

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

803612160 is a wasteful number, since it uses less digits than its factorization.

803612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 803612160 is about 28348.0539014586. The cubic root of 803612160 is about 929.7128492591.

Adding to 803612160 its reverse (61216308), we get a palindrome (864828468).

The spelling of 803612160 in words is "eight hundred three million, six hundred twelve thousand, one hundred sixty".