82820556 has 180 divisors, whose sum is σ = 271595632. Its totient is φ = 21430656.

The previous prime is 82820497. The next prime is 82820579. The reversal of 82820556 is 65502828.

82820556 is a `hidden beast` number, since 82 + 8 + 20 + 556 = 666.

It is a super-2 number, since 2×82820556² = 13718488992298272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82820556.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1562626 + ... + 1562678.

Almost surely, 2^82820556 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 82820556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135797816).

82820556 is an abundant number, since it is smaller than the sum of its proper divisors (188775076).

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

82820556 is a wasteful number, since it uses less digits than its factorization.

82820556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 82820556 is about 9100.5799815177. The cubic root of 82820556 is about 435.8924839400.

The spelling of 82820556 in words is "eighty-two million, eight hundred twenty thousand, five hundred fifty-six".