82656000 has 432 divisors, whose sum is σ = 348199488. Its totient is φ = 18432000.

The previous prime is 82655983. The next prime is 82656017. The reversal of 82656000 is 65628.

82656000 is a `hidden beast` number, since 8 + 2 + 656 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82655983) and next prime (82656017).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015980 + ... + 2016020.

Almost surely, 2^82656000 is an apocalyptic number.

82656000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174099744).

82656000 is an abundant number, since it is smaller than the sum of its proper divisors (265543488).

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

82656000 is a wasteful number, since it uses less digits than its factorization.

82656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82656000 is about 9091.5345239404. The cubic root of 82656000 is about 435.6036012219.

The spelling of 82656000 in words is "eighty-two million, six hundred fifty-six thousand".