82016820 has 48 divisors (see below), whose sum is σ = 255165120. Its totient is φ = 21871008.

The previous prime is 82016819. The next prime is 82016821. The reversal of 82016820 is 2861028.

It is an interprime number because it is at equal distance from previous prime (82016819) and next prime (82016821).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82016821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75402 + ... + 76481.

It is an arithmetic number, because the mean of its divisors is an integer number (5315940).

Almost surely, 2^82016820 is an apocalyptic number.

It is an amenable number.

82016820 is an abundant number, since it is smaller than the sum of its proper divisors (173148300).

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

82016820 is a wasteful number, since it uses less digits than its factorization.

82016820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151901 (or 151893 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82016820 is about 9056.3138196509. The cubic root of 82016820 is about 434.4778514967.

Adding to 82016820 its reverse (2861028), we get a palindrome (84877848).

The spelling of 82016820 in words is "eighty-two million, sixteen thousand, eight hundred twenty".