82530448 has 80 divisors (see below), whose sum is σ = 214736256. Its totient is φ = 29675520.

The previous prime is 82530421. The next prime is 82530451. The reversal of 82530448 is 84403528.

It is a super-2 number, since 2×82530448² = 13622549694161408, which contains 22 as substring.

It is an unprimeable number.

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, 13440 + ... + 18592.

Almost surely, 2^82530448 is an apocalyptic number.

82530448 is a gapful number since it is divisible by the number (88) 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 82530448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107368128).

82530448 is an abundant number, since it is smaller than the sum of its proper divisors (132205808).

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

82530448 is a wasteful number, since it uses less digits than its factorization.

82530448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 82530448 is about 9084.6270149082. The cubic root of 82530448 is about 435.3829331598.

Subtracting 82530448 from its reverse (84403528), we obtain a triangular number (1873080 = T₁₉₃₅).

The spelling of 82530448 in words is "eighty-two million, five hundred thirty thousand, four hundred forty-eight".