82896000 has 256 divisors, whose sum is σ = 301691520. Its totient is φ = 19968000.

The previous prime is 82895987. The next prime is 82896019. The reversal of 82896000 is 69828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527922 + ... + 528078.

Almost surely, 2^82896000 is an apocalyptic number.

82896000 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 82896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150845760).

82896000 is an abundant number, since it is smaller than the sum of its proper divisors (218795520).

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

82896000 is a wasteful number, since it uses less digits than its factorization.

82896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 82896000 is about 9104.7240485366. The cubic root of 82896000 is about 436.0248000931.

The spelling of 82896000 in words is "eighty-two million, eight hundred ninety-six thousand".