82578048 has 128 divisors (see below), whose sum is σ = 259031040. Its totient is φ = 22809600.

The previous prime is 82578031. The next prime is 82578049. The reversal of 82578048 is 84087528.

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

It is a super-2 number, since 2×82578048² = 13638268022980608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82578049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82833 + ... + 83823.

It is an arithmetic number, because the mean of its divisors is an integer number (2023680).

Almost surely, 2^82578048 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 82578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129515520).

82578048 is an abundant number, since it is smaller than the sum of its proper divisors (176452992).

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

82578048 is a wasteful number, since it uses less digits than its factorization.

82578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 82578048 is about 9087.2464476320. The cubic root of 82578048 is about 435.4666204337.

The spelling of 82578048 in words is "eighty-two million, five hundred seventy-eight thousand, forty-eight".