82635000 has 160 divisors (see below), whose sum is σ = 295405440. Its totient is φ = 18864000.

The previous prime is 82634989. The next prime is 82635001. The reversal of 82635000 is 53628.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82635001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104607 + ... + 105393.

It is an arithmetic number, because the mean of its divisors is an integer number (1846284).

Almost surely, 2^82635000 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 82635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147702720).

82635000 is an abundant number, since it is smaller than the sum of its proper divisors (212770440).

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

82635000 is a wasteful number, since it uses less digits than its factorization.

82635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 82635000 is about 9090.3795300306. The cubic root of 82635000 is about 435.5667075484.

Adding to 82635000 its reverse (53628), we get a palindrome (82688628).

The spelling of 82635000 in words is "eighty-two million, six hundred thirty-five thousand".