82906320 has 160 divisors (see below), whose sum is σ = 298909440. Its totient is φ = 18616320.

The previous prime is 82906309. The next prime is 82906361. The reversal of 82906320 is 2360928.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102076 + ... + 102884.

It is an arithmetic number, because the mean of its divisors is an integer number (1868184).

Almost surely, 2^82906320 is an apocalyptic number.

82906320 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 82906320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149454720).

82906320 is an abundant number, since it is smaller than the sum of its proper divisors (216003120).

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

82906320 is a wasteful number, since it uses less digits than its factorization.

82906320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

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

The square root of 82906320 is about 9105.2907696569. The cubic root of 82906320 is about 436.0428934037.

The spelling of 82906320 in words is "eighty-two million, nine hundred six thousand, three hundred twenty".