83804160 has 240 divisors, whose sum is σ = 301980672. Its totient is φ = 19660800.

The previous prime is 83804159. The next prime is 83804167. The reversal of 83804160 is 6140838.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83804167) 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, 2703345 + ... + 2703375.

Almost surely, 2^83804160 is an apocalyptic number.

83804160 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 83804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150990336).

83804160 is an abundant number, since it is smaller than the sum of its proper divisors (218176512).

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

83804160 is a wasteful number, since it uses less digits than its factorization.

83804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83804160 is about 9154.4612075206. The cubic root of 83804160 is about 437.6112979424.

Adding to 83804160 its reverse (6140838), we get a palindrome (89944998).

The spelling of 83804160 in words is "eighty-three million, eight hundred four thousand, one hundred sixty".