82031040 has 336 divisors, whose sum is σ = 348374208. Its totient is φ = 17252352.

The previous prime is 82031039. The next prime is 82031071. The reversal of 82031040 is 4013028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261924 + ... + 262236.

It is an arithmetic number, because the mean of its divisors is an integer number (1036828).

Almost surely, 2^82031040 is an apocalyptic number.

82031040 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 82031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174187104).

82031040 is an abundant number, since it is smaller than the sum of its proper divisors (266343168).

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

82031040 is a wasteful number, since it uses less digits than its factorization.

82031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82031040 is about 9057.0988732596. The cubic root of 82031040 is about 434.5029598343.

Adding to 82031040 its reverse (4013028), we get a palindrome (86044068).

The spelling of 82031040 in words is "eighty-two million, thirty-one thousand, forty".