82820620 has 36 divisors (see below), whose sum is σ = 183574944. Its totient is φ = 31381920.

The previous prime is 82820611. The next prime is 82820629. The reversal of 82820620 is 2602828.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82820611) and next prime (82820629).

It is not an unprimeable number, because it can be changed into a prime (82820629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 12955.

It is an arithmetic number, because the mean of its divisors is an integer number (5099304).

Almost surely, 2^82820620 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 82820620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91787472).

82820620 is an abundant number, since it is smaller than the sum of its proper divisors (100754324).

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

82820620 is a wasteful number, since it uses less digits than its factorization.

82820620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 82820620 is about 9100.5834977764. The cubic root of 82820620 is about 435.8925962193.

The spelling of 82820620 in words is "eighty-two million, eight hundred twenty thousand, six hundred twenty".