83475168 has 96 divisors (see below), whose sum is σ = 265192704. Its totient is φ = 22444032.

The previous prime is 83475109. The next prime is 83475179. The reversal of 83475168 is 86157438.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7771 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (2762424).

Almost surely, 2^83475168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83475168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132596352).

83475168 is an abundant number, since it is smaller than the sum of its proper divisors (181717536).

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

83475168 is a wasteful number, since it uses less digits than its factorization.

83475168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 7336 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 83475168 is about 9136.4745936275. The cubic root of 83475168 is about 437.0378998979.

The spelling of 83475168 in words is "eighty-three million, four hundred seventy-five thousand, one hundred sixty-eight".