82646048 has 48 divisors (see below), whose sum is σ = 172448640. Its totient is φ = 38880000.

The previous prime is 82645999. The next prime is 82646063. The reversal of 82646048 is 84064628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109673 + ... + 110423.

It is an arithmetic number, because the mean of its divisors is an integer number (3592680).

Almost surely, 2^82646048 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 82646048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86224320).

82646048 is an abundant number, since it is smaller than the sum of its proper divisors (89802592).

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

82646048 is a wasteful number, since it uses less digits than its factorization.

82646048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 82646048 is about 9090.9871851191. The cubic root of 82646048 is about 435.5861179134.

The spelling of 82646048 in words is "eighty-two million, six hundred forty-six thousand, forty-eight".