82644210 has 72 divisors (see below), whose sum is σ = 236215980. Its totient is φ = 20032320.

The previous prime is 82644209. The next prime is 82644223. The reversal of 82644210 is 1244628.

82644210 is a `hidden beast` number, since 8 + 2 + 644 + 2 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69705801 + 12938409 = 8349^2 + 3597^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7096 + ... + 14684.

Almost surely, 2^82644210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82644210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118107990).

82644210 is an abundant number, since it is smaller than the sum of its proper divisors (153571770).

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

82644210 is a wasteful number, since it uses less digits than its factorization.

82644210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82644210 is about 9090.8860954255. The cubic root of 82644210 is about 435.5828888289.

Adding to 82644210 its reverse (1244628), we get a palindrome (83888838).

The spelling of 82644210 in words is "eighty-two million, six hundred forty-four thousand, two hundred ten".