82145840 has 60 divisors (see below), whose sum is σ = 218844624. Its totient is φ = 28090752.

The previous prime is 82145839. The next prime is 82145849. The reversal of 82145840 is 4854128.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82145797 and 82145806.

It is not an unprimeable number, because it can be changed into a prime (82145849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214289 + ... + 214671.

Almost surely, 2^82145840 is an apocalyptic number.

82145840 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 82145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109422312).

82145840 is an abundant number, since it is smaller than the sum of its proper divisors (136698784).

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

82145840 is an equidigital number, since it uses as much as digits as its factorization.

82145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 82145840 is about 9063.4342277086. The cubic root of 82145840 is about 434.7055566761.

Adding to 82145840 its reverse (4854128), we get a palindrome (86999968).

The spelling of 82145840 in words is "eighty-two million, one hundred forty-five thousand, eight hundred forty".