83340192 has 96 divisors (see below), whose sum is σ = 241230528. Its totient is φ = 25030656.

The previous prime is 83340163. The next prime is 83340193. The reversal of 83340192 is 29104338.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83340193) 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, 52888 + ... + 54440.

It is an arithmetic number, because the mean of its divisors is an integer number (2512818).

Almost surely, 2^83340192 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 83340192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120615264).

83340192 is an abundant number, since it is smaller than the sum of its proper divisors (157890336).

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

83340192 is a wasteful number, since it uses less digits than its factorization.

83340192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83340192 is about 9129.0849486682. The cubic root of 83340192 is about 436.8022152338.

The spelling of 83340192 in words is "eighty-three million, three hundred forty thousand, one hundred ninety-two".