82869600 has 288 divisors, whose sum is σ = 305230464. Its totient is φ = 19353600.

The previous prime is 82869599. The next prime is 82869623. The reversal of 82869600 is 696828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135164 + ... + 1135236.

It is an arithmetic number, because the mean of its divisors is an integer number (1059828).

Almost surely, 2^82869600 is an apocalyptic number.

82869600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152615232).

82869600 is an abundant number, since it is smaller than the sum of its proper divisors (222360864).

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

82869600 is a wasteful number, since it uses less digits than its factorization.

82869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 82869600 is about 9103.2741362655. The cubic root of 82869600 is about 435.9785080448.

The spelling of 82869600 in words is "eighty-two million, eight hundred sixty-nine thousand, six hundred".