83206720 has 56 divisors (see below), whose sum is σ = 202777344. Its totient is φ = 32503296.

The previous prime is 83206699. The next prime is 83206727. The reversal of 83206720 is 2760238.

It is not an unprimeable number, because it can be changed into a prime (83206727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10737 + ... + 16783.

It is an arithmetic number, because the mean of its divisors is an integer number (3621024).

Almost surely, 2^83206720 is an apocalyptic number.

83206720 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 83206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

83206720 is an abundant number, since it is smaller than the sum of its proper divisors (119570624).

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

83206720 is a wasteful number, since it uses less digits than its factorization.

83206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 83206720 is about 9121.7717577234. The cubic root of 83206720 is about 436.5689063698.

Adding to 83206720 its reverse (2760238), we get a palindrome (85966958).

The spelling of 83206720 in words is "eighty-three million, two hundred six thousand, seven hundred twenty".