82385940 has 192 divisors, whose sum is σ = 289013760. Its totient is φ = 17072640.

The previous prime is 82385923. The next prime is 82385959. The reversal of 82385940 is 4958328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 431245 + ... + 431435.

It is an arithmetic number, because the mean of its divisors is an integer number (1505280).

Almost surely, 2^82385940 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 82385940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

82385940 is an abundant number, since it is smaller than the sum of its proper divisors (206627820).

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

82385940 is a wasteful number, since it uses less digits than its factorization.

82385940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 82385940 is about 9076.6700942581. The cubic root of 82385940 is about 435.1286711445.

The spelling of 82385940 in words is "eighty-two million, three hundred eighty-five thousand, nine hundred forty".