83342160 has 240 divisors, whose sum is σ = 323818560. Its totient is φ = 18984960.

The previous prime is 83342137. The next prime is 83342183. The reversal of 83342160 is 6124338.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83342137) and next prime (83342183).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134331 + ... + 134949.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^83342160 is an apocalyptic number.

83342160 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 83342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909280).

83342160 is an abundant number, since it is smaller than the sum of its proper divisors (240476400).

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

83342160 is a wasteful number, since it uses less digits than its factorization.

83342160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83342160 is about 9129.1927353956. The cubic root of 83342160 is about 436.8056534308.

Adding to 83342160 its reverse (6124338), we get a palindrome (89466498).

It can be divided in two parts, 83 and 342160, that added together give a palindrome (342243).

The spelling of 83342160 in words is "eighty-three million, three hundred forty-two thousand, one hundred sixty".