83306920 has 96 divisors (see below), whose sum is σ = 203857920. Its totient is φ = 30602880.

The previous prime is 83306911. The next prime is 83306947. The reversal of 83306920 is 2960338.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 655897 + ... + 656023.

It is an arithmetic number, because the mean of its divisors is an integer number (2123520).

Almost surely, 2^83306920 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 83306920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101928960).

83306920 is an abundant number, since it is smaller than the sum of its proper divisors (120551000).

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

83306920 is a wasteful number, since it uses less digits than its factorization.

83306920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 83306920 is about 9127.2624592481. The cubic root of 83306920 is about 436.7440791475.

The spelling of 83306920 in words is "eighty-three million, three hundred six thousand, nine hundred twenty".