82384820 has 24 divisors (see below), whose sum is σ = 197723904. Its totient is φ = 28246176.

The previous prime is 82384801. The next prime is 82384823. The reversal of 82384820 is 2848328.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82384823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294092 + ... + 294371.

It is an arithmetic number, because the mean of its divisors is an integer number (8238496).

Almost surely, 2^82384820 is an apocalyptic number.

It is an amenable number.

82384820 is an abundant number, since it is smaller than the sum of its proper divisors (115339084).

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

82384820 is a wasteful number, since it uses less digits than its factorization.

82384820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588479 (or 588477 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 82384820 is about 9076.6083974137. The cubic root of 82384820 is about 435.1266993423.

The spelling of 82384820 in words is "eighty-two million, three hundred eighty-four thousand, eight hundred twenty".