83156920 has 256 divisors, whose sum is σ = 259200000. Its totient is φ = 23708160.

The previous prime is 83156917. The next prime is 83156921. The reversal of 83156920 is 2965138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83156921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2867466 + ... + 2867494.

It is an arithmetic number, because the mean of its divisors is an integer number (1012500).

Almost surely, 2^83156920 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 83156920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600000).

83156920 is an abundant number, since it is smaller than the sum of its proper divisors (176043080).

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

83156920 is a wasteful number, since it uses less digits than its factorization.

83156920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 83156920 is about 9119.0416163103. The cubic root of 83156920 is about 436.4817921303.

The spelling of 83156920 in words is "eighty-three million, one hundred fifty-six thousand, nine hundred twenty".