82662820 has 24 divisors (see below), whose sum is σ = 174170304. Its totient is φ = 32954976.

The previous prime is 82662803. The next prime is 82662821. The reversal of 82662820 is 2826628.

It is a super-3 number, since 3×82662820³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82662821) 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, 592 + ... + 12871.

It is an arithmetic number, because the mean of its divisors is an integer number (7257096).

Almost surely, 2^82662820 is an apocalyptic number.

It is an amenable number.

82662820 is an abundant number, since it is smaller than the sum of its proper divisors (91507484).

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

82662820 is a wasteful number, since it uses less digits than its factorization.

82662820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13779 (or 13777 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 82662820 is about 9091.9095903996. The cubic root of 82662820 is about 435.6155815373.

The spelling of 82662820 in words is "eighty-two million, six hundred sixty-two thousand, eight hundred twenty".