96789000 has 256 divisors, whose sum is σ = 377395200. Its totient is φ = 20064000.

The previous prime is 96788999. The next prime is 96789031. The reversal of 96789000 is 98769.

It is a super-2 number, since 2×96789000² = 18736221042000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96789000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230791 + ... + 231209.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^96789000 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 96789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

96789000 is an abundant number, since it is smaller than the sum of its proper divisors (280606200).

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

96789000 is a wasteful number, since it uses less digits than its factorization.

96789000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 96789000 is about 9838.1400681226. The cubic root of 96789000 is about 459.1366920741.

The spelling of 96789000 in words is "ninety-six million, seven hundred eighty-nine thousand".