82410240 has 144 divisors (see below), whose sum is σ = 287271936. Its totient is φ = 19968000.

The previous prime is 82410233. The next prime is 82410241. The reversal of 82410240 is 4201428.

It is not an unprimeable number, because it can be changed into a prime (82410241) 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, 41265 + ... + 43215.

It is an arithmetic number, because the mean of its divisors is an integer number (1994944).

Almost surely, 2^82410240 is an apocalyptic number.

82410240 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 82410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143635968).

82410240 is an abundant number, since it is smaller than the sum of its proper divisors (204861696).

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

82410240 is a wasteful number, since it uses less digits than its factorization.

82410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 82410240 is about 9078.0085921969. The cubic root of 82410240 is about 435.1714478096.

Adding to 82410240 its reverse (4201428), we get a palindrome (86611668).

The spelling of 82410240 in words is "eighty-two million, four hundred ten thousand, two hundred forty".