82811040 has 192 divisors, whose sum is σ = 293642496. Its totient is φ = 19464192.

The previous prime is 82811023. The next prime is 82811051. The reversal of 82811040 is 4011828.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82811040.

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, 143232 + ... + 143808.

It is an arithmetic number, because the mean of its divisors is an integer number (1529388).

Almost surely, 2^82811040 is an apocalyptic number.

82811040 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 82811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146821248).

82811040 is an abundant number, since it is smaller than the sum of its proper divisors (210831456).

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

82811040 is a wasteful number, since it uses less digits than its factorization.

82811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 82811040 is about 9100.0571426777. The cubic root of 82811040 is about 435.8757887620.

Adding to 82811040 its reverse (4011828), we get a palindrome (86822868).

The spelling of 82811040 in words is "eighty-two million, eight hundred eleven thousand, forty".