82494048 has 288 divisors, whose sum is σ = 289578240. Its totient is φ = 20321280.

The previous prime is 82494043. The next prime is 82494079. The reversal of 82494048 is 84049428.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 82493997 and 82494015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82494043) 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 47 ways as a sum of consecutive naturals, for example, 1161853 + ... + 1161923.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^82494048 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 82494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

82494048 is an abundant number, since it is smaller than the sum of its proper divisors (207084192).

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

82494048 is a wasteful number, since it uses less digits than its factorization.

82494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 82494048 is about 9082.6234095662. The cubic root of 82494048 is about 435.3189152948.

The spelling of 82494048 in words is "eighty-two million, four hundred ninety-four thousand, forty-eight".