82648412 has 96 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 30700800.

The previous prime is 82648403. The next prime is 82648421. The reversal of 82648412 is 21484628.

It is an interprime number because it is at equal distance from previous prime (82648403) and next prime (82648421).

It is a super-2 number, since 2×82648412² = 13661520012243488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995723 + ... + 995805.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^82648412 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 82648412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

82648412 is an abundant number, since it is smaller than the sum of its proper divisors (106339492).

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

82648412 is a wasteful number, since it uses less digits than its factorization.

82648412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 82648412 is about 9091.1172030725. The cubic root of 82648412 is about 435.5902710290.

The spelling of 82648412 in words is "eighty-two million, six hundred forty-eight thousand, four hundred twelve".