85796000 has 96 divisors (see below), whose sum is σ = 214053840. Its totient is φ = 33792000.

The previous prime is 85795973. The next prime is 85796023. The reversal of 85796000 is 69758.

It can be written as a sum of positive squares in 8 ways, for example, as 1817104 + 83978896 = 1348^2 + 9164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355880 + ... + 356120.

Almost surely, 2^85796000 is an apocalyptic number.

85796000 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 85796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).

85796000 is an abundant number, since it is smaller than the sum of its proper divisors (128257840).

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

85796000 is a wasteful number, since it uses less digits than its factorization.

85796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 85796000 is about 9262.6130222524. The cubic root of 85796000 is about 441.0512055693.

The spelling of 85796000 in words is "eighty-five million, seven hundred ninety-six thousand".