82046720 has 72 divisors (see below), whose sum is σ = 224627424. Its totient is φ = 28127232.

The previous prime is 82046719. The next prime is 82046729. The reversal of 82046720 is 2764028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82046729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4382 + ... + 13538.

Almost surely, 2^82046720 is an apocalyptic number.

82046720 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 82046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112313712).

82046720 is an abundant number, since it is smaller than the sum of its proper divisors (142580704).

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

82046720 is an equidigital number, since it uses as much as digits as its factorization.

82046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 82046720 is about 9057.9644512440. The cubic root of 82046720 is about 434.5306427389.

The spelling of 82046720 in words is "eighty-two million, forty-six thousand, seven hundred twenty".