82416810 has 64 divisors (see below), whose sum is σ = 231340032. Its totient is φ = 18398016.

The previous prime is 82416809. The next prime is 82416863. The reversal of 82416810 is 1861428.

It is a super-2 number, since 2×82416810² = 13585061141152200, which contains 22 as substring.

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

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 4467 + ... + 13593.

It is an arithmetic number, because the mean of its divisors is an integer number (3614688).

Almost surely, 2^82416810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82416810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115670016).

82416810 is an abundant number, since it is smaller than the sum of its proper divisors (148923222).

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

82416810 is a wasteful number, since it uses less digits than its factorization.

82416810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 82416810 is about 9078.3704484891. The cubic root of 82416810 is about 435.1830119083.

It can be divided in two parts, 8241 and 6810, that added together give a palindrome (15051).

The spelling of 82416810 in words is "eighty-two million, four hundred sixteen thousand, eight hundred ten".