82484820 has 72 divisors (see below), whose sum is σ = 272956320. Its totient is φ = 19995840.

The previous prime is 82484813. The next prime is 82484851. The reversal of 82484820 is 2848428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18850 + ... + 22809.

It is an arithmetic number, because the mean of its divisors is an integer number (3791060).

Almost surely, 2^82484820 is an apocalyptic number.

It is an amenable number.

82484820 is an abundant number, since it is smaller than the sum of its proper divisors (190471500).

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

82484820 is a wasteful number, since it uses less digits than its factorization.

82484820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41685 (or 41680 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 82484820 is about 9082.1153923522. The cubic root of 82484820 is about 435.3026827186.

The spelling of 82484820 in words is "eighty-two million, four hundred eighty-four thousand, eight hundred twenty".