82442240 has 96 divisors (see below), whose sum is σ = 202260240. Its totient is φ = 32243712.

The previous prime is 82442233. The next prime is 82442249. The reversal of 82442240 is 4224428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82442249) by changing a digit.

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, 849872 + ... + 849968.

Almost surely, 2^82442240 is an apocalyptic number.

82442240 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 82442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101130120).

82442240 is an abundant number, since it is smaller than the sum of its proper divisors (119818000).

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

82442240 is an equidigital number, since it uses as much as digits as its factorization.

82442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 82442240 is about 9079.7709222204. The cubic root of 82442240 is about 435.2277663945.

Adding to 82442240 its reverse (4224428), we get a palindrome (86666668).

The spelling of 82442240 in words is "eighty-two million, four hundred forty-two thousand, two hundred forty".