82629248 has 128 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 34062336.

The previous prime is 82629247. The next prime is 82629259. The reversal of 82629248 is 84292628.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82629241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 650561 + ... + 650687.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^82629248 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 82629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

82629248 is an abundant number, since it is smaller than the sum of its proper divisors (114777472).

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

82629248 is a wasteful number, since it uses less digits than its factorization.

82629248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 82629248 is about 9090.0631460953. The cubic root of 82629248 is about 435.5566011051.

The spelling of 82629248 in words is "eighty-two million, six hundred twenty-nine thousand, two hundred forty-eight".