82405540 has 48 divisors (see below), whose sum is σ = 198721152. Its totient is φ = 28118016.

The previous prime is 82405537. The next prime is 82405567. The reversal of 82405540 is 4550428.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 82405499 and 82405508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30484 + ... + 33076.

It is an arithmetic number, because the mean of its divisors is an integer number (4140024).

Almost surely, 2^82405540 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 82405540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99360576).

82405540 is an abundant number, since it is smaller than the sum of its proper divisors (116315612).

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

82405540 is a wasteful number, since it uses less digits than its factorization.

82405540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 82405540 is about 9077.7497211589. The cubic root of 82405540 is about 435.1631747896.

Adding to 82405540 its reverse (4550428), we get a palindrome (86955968).

The spelling of 82405540 in words is "eighty-two million, four hundred five thousand, five hundred forty".