83343168 has 168 divisors, whose sum is σ = 259616448. Its totient is φ = 26459136.

The previous prime is 83343107. The next prime is 83343181. The reversal of 83343168 is 86134338.

It is a happy number.

83343168 is a `hidden beast` number, since 8 + 334 + 316 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 357580 + ... + 357812.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^83343168 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 83343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224).

83343168 is an abundant number, since it is smaller than the sum of its proper divisors (176273280).

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

83343168 is a wasteful number, since it uses less digits than its factorization.

83343168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83343168 is about 9129.2479427388. The cubic root of 83343168 is about 436.8074144376.

The spelling of 83343168 in words is "eighty-three million, three hundred forty-three thousand, one hundred sixty-eight".