82275648 has 224 divisors, whose sum is σ = 284707584. Its totient is φ = 20348928.

The previous prime is 82275647. The next prime is 82275653. The reversal of 82275648 is 84657228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82275647) 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 31 ways as a sum of consecutive naturals, for example, 296886 + ... + 297162.

It is an arithmetic number, because the mean of its divisors is an integer number (1271016).

Almost surely, 2^82275648 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 82275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142353792).

82275648 is an abundant number, since it is smaller than the sum of its proper divisors (202431936).

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

82275648 is a wasteful number, since it uses less digits than its factorization.

82275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 82275648 is about 9070.5924834048. The cubic root of 82275648 is about 434.9344120958.

The spelling of 82275648 in words is "eighty-two million, two hundred seventy-five thousand, six hundred forty-eight".