82535040 has 384 divisors, whose sum is σ = 343699200. Its totient is φ = 17842176.

The previous prime is 82535027. The next prime is 82535059. The reversal of 82535040 is 4053528.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 82534995 and 82535013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 927316 + ... + 927404.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^82535040 is an apocalyptic number.

82535040 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 82535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

82535040 is an abundant number, since it is smaller than the sum of its proper divisors (261164160).

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

82535040 is a wasteful number, since it uses less digits than its factorization.

82535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82535040 is about 9084.8797460396. The cubic root of 82535040 is about 435.3910079225.

Adding to 82535040 its reverse (4053528), we get a palindrome (86588568).

The spelling of 82535040 in words is "eighty-two million, five hundred thirty-five thousand, forty".