82648120 has 16 divisors (see below), whose sum is σ = 185958360. Its totient is φ = 33059232.

The previous prime is 82648117. The next prime is 82648123. The reversal of 82648120 is 2184628.

It is an interprime number because it is at equal distance from previous prime (82648117) and next prime (82648123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82648123) 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 3 ways as a sum of consecutive naturals, for example, 1033062 + ... + 1033141.

Almost surely, 2^82648120 is an apocalyptic number.

It is an amenable number.

82648120 is an abundant number, since it is smaller than the sum of its proper divisors (103310240).

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

82648120 is a wasteful number, since it uses less digits than its factorization.

82648120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066214 (or 2066210 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 82648120 is about 9091.1011434259. The cubic root of 82648120 is about 435.5897580427.

It can be divided in two parts, 8264 and 8120, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 82648120 in words is "eighty-two million, six hundred forty-eight thousand, one hundred twenty".