82906048 has 56 divisors (see below), whose sum is σ = 170801792. Its totient is φ = 39896064.

The previous prime is 82906013. The next prime is 82906049. The reversal of 82906048 is 84060928.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 82905998 and 82906016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82906049) 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 7 ways as a sum of consecutive naturals, for example, 371665 + ... + 371887.

It is an arithmetic number, because the mean of its divisors is an integer number (3050032).

Almost surely, 2^82906048 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 82906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85400896).

82906048 is an abundant number, since it is smaller than the sum of its proper divisors (87895744).

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

82906048 is a wasteful number, since it uses less digits than its factorization.

82906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 82906048 is about 9105.2758332738. The cubic root of 82906048 is about 436.0424165450.

The spelling of 82906048 in words is "eighty-two million, nine hundred six thousand, forty-eight".