82855840 has 48 divisors (see below), whose sum is σ = 200315808. Its totient is φ = 32368896.

The previous prime is 82855837. The next prime is 82855889. The reversal of 82855840 is 4855828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 82855793 and 82855802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859 + ... + 12901.

It is an arithmetic number, because the mean of its divisors is an integer number (4173246).

Almost surely, 2^82855840 is an apocalyptic number.

82855840 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 82855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100157904).

82855840 is an abundant number, since it is smaller than the sum of its proper divisors (117459968).

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

82855840 is a wasteful number, since it uses less digits than its factorization.

82855840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 82855840 is about 9102.5183328571. The cubic root of 82855840 is about 435.9543761704.

The spelling of 82855840 in words is "eighty-two million, eight hundred fifty-five thousand, eight hundred forty".