83140920 has 96 divisors (see below), whose sum is σ = 272113920. Its totient is φ = 22014720.

The previous prime is 83140909. The next prime is 83140927. The reversal of 83140920 is 2904138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83140927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55785 + ... + 57255.

It is an arithmetic number, because the mean of its divisors is an integer number (2834520).

Almost surely, 2^83140920 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 83140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136056960).

83140920 is an abundant number, since it is smaller than the sum of its proper divisors (188973000).

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

83140920 is a wasteful number, since it uses less digits than its factorization.

83140920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83140920 is about 9118.1642889345. The cubic root of 83140920 is about 436.4537962376.

The spelling of 83140920 in words is "eighty-three million, one hundred forty thousand, nine hundred twenty".