82838440 has 64 divisors (see below), whose sum is σ = 192326400. Its totient is φ = 32095488.

The previous prime is 82838411. The next prime is 82838443. The reversal of 82838440 is 4483828.

It is a self number, because there is not a number n which added to its sum of digits gives 82838440.

It is not an unprimeable number, because it can be changed into a prime (82838443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261162 + ... + 261478.

It is an arithmetic number, because the mean of its divisors is an integer number (3005100).

Almost surely, 2^82838440 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 82838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96163200).

82838440 is an abundant number, since it is smaller than the sum of its proper divisors (109487960).

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

82838440 is a wasteful number, since it uses less digits than its factorization.

82838440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 82838440 is about 9101.5625032189. The cubic root of 82838440 is about 435.9238567477.

The spelling of 82838440 in words is "eighty-two million, eight hundred thirty-eight thousand, four hundred forty".