82690048 has 90 divisors (see below), whose sum is σ = 194242776. Its totient is φ = 35094528.

The previous prime is 82690019. The next prime is 82690087. The reversal of 82690048 is 84009628.

It is a junction number, because it is equal to n+sod(n) for n = 82689989 and 82690016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802765 + ... + 802867.

Almost surely, 2^82690048 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 82690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97121388).

82690048 is an abundant number, since it is smaller than the sum of its proper divisors (111552728).

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

82690048 is an equidigital number, since it uses as much as digits as its factorization.

82690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

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

The square root of 82690048 is about 9093.4068423226. The cubic root of 82690048 is about 435.6634048877.

The spelling of 82690048 in words is "eighty-two million, six hundred ninety thousand, forty-eight".