82606350 has 48 divisors (see below), whose sum is σ = 207486720. Its totient is φ = 21746400.

The previous prime is 82606343. The next prime is 82606361. The reversal of 82606350 is 5360628.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8365 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (4322640).

Almost surely, 2^82606350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82606350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103743360).

82606350 is an abundant number, since it is smaller than the sum of its proper divisors (124880370).

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

82606350 is a wasteful number, since it uses less digits than its factorization.

82606350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 82606350 is about 9088.8035516233. The cubic root of 82606350 is about 435.5163639546.

Adding to 82606350 its reverse (5360628), we get a palindrome (87966978).

The spelling of 82606350 in words is "eighty-two million, six hundred six thousand, three hundred fifty".