83096160 has 144 divisors (see below), whose sum is σ = 304574256. Its totient is φ = 18988032.

The previous prime is 83096149. The next prime is 83096173. The reversal of 83096160 is 6169038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21754 + ... + 25286.

It is an arithmetic number, because the mean of its divisors is an integer number (2115099).

Almost surely, 2^83096160 is an apocalyptic number.

83096160 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 83096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152287128).

83096160 is an abundant number, since it is smaller than the sum of its proper divisors (221478096).

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

83096160 is a wasteful number, since it uses less digits than its factorization.

83096160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 83096160 is about 9115.7095170919. The cubic root of 83096160 is about 436.3754586443.

The spelling of 83096160 in words is "eighty-three million, ninety-six thousand, one hundred sixty".