82810026 has 112 divisors (see below), whose sum is σ = 213187464. Its totient is φ = 23887872.

The previous prime is 82810019. The next prime is 82810027. The reversal of 82810026 is 62001828.

It can be written as a sum of positive squares in 4 ways, for example, as 81812025 + 998001 = 9045^2 + 999^2 .

It is a super-2 number, since 2×82810026² = 13715000812241352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82810027) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 322090 + ... + 322346.

Almost surely, 2^82810026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82810026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106593732).

82810026 is an abundant number, since it is smaller than the sum of its proper divisors (130377438).

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

82810026 is a wasteful number, since it uses less digits than its factorization.

82810026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82810026 is about 9100.0014285713. The cubic root of 82810026 is about 435.8740096923.

The spelling of 82810026 in words is "eighty-two million, eight hundred ten thousand, twenty-six".