82098810 has 96 divisors (see below), whose sum is σ = 230368320. Its totient is φ = 20217600.

The previous prime is 82098781. The next prime is 82098817. The reversal of 82098810 is 1889028.

It is a super-2 number, since 2×82098810² = 13480429206832200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82098817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69525 + ... + 70695.

It is an arithmetic number, because the mean of its divisors is an integer number (2399670).

Almost surely, 2^82098810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82098810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115184160).

82098810 is an abundant number, since it is smaller than the sum of its proper divisors (148269510).

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

82098810 is a wasteful number, since it uses less digits than its factorization.

82098810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 82098810 is about 9060.8393650920. The cubic root of 82098810 is about 434.6225818712.

The spelling of 82098810 in words is "eighty-two million, ninety-eight thousand, eight hundred ten".