82566144 has 198 divisors, whose sum is σ = 261426464. Its totient is φ = 25067520.

The previous prime is 82566131. The next prime is 82566151. The reversal of 82566144 is 44166528.

82566144 is a `hidden beast` number, since 82 + 566 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82566099 and 82566108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2663409 + ... + 2663439.

Almost surely, 2^82566144 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 82566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130713232).

82566144 is an abundant number, since it is smaller than the sum of its proper divisors (178860320).

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

82566144 is a wasteful number, since it uses less digits than its factorization.

82566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 82566144 is about 9086.5914401386. The cubic root of 82566144 is about 435.4456945990.

It can be divided in two parts, 8256 and 6144, that added together give a square (14400 = 120²).

The spelling of 82566144 in words is "eighty-two million, five hundred sixty-six thousand, one hundred forty-four".