82819240 has 128 divisors (see below), whose sum is σ = 228925440. Its totient is φ = 26320896.

The previous prime is 82819237. The next prime is 82819241. The reversal of 82819240 is 4291828.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 82819196 and 82819205.

It is not an unprimeable number, because it can be changed into a prime (82819241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604452 + ... + 604588.

It is an arithmetic number, because the mean of its divisors is an integer number (1788480).

Almost surely, 2^82819240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82819240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114462720).

82819240 is an abundant number, since it is smaller than the sum of its proper divisors (146106200).

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

82819240 is a wasteful number, since it uses less digits than its factorization.

82819240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 82819240 is about 9100.5076781463. The cubic root of 82819240 is about 435.8901751832.

The spelling of 82819240 in words is "eighty-two million, eight hundred nineteen thousand, two hundred forty".