82687200 has 144 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 21798400.

The previous prime is 82687177. The next prime is 82687217. The reversal of 82687200 is 278628.

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, 314269 + ... + 314531.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^82687200 is an apocalyptic number.

82687200 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 82687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

82687200 is an abundant number, since it is smaller than the sum of its proper divisors (189545376).

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

82687200 is a wasteful number, since it uses less digits than its factorization.

82687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82687200 is about 9093.2502439997. The cubic root of 82687200 is about 435.6584031427.

The spelling of 82687200 in words is "eighty-two million, six hundred eighty-seven thousand, two hundred".