96298000 has 80 divisors (see below), whose sum is σ = 235900080. Its totient is φ = 38016000.

The previous prime is 96297989. The next prime is 96298003. The reversal of 96298000 is 89269.

It can be written as a sum of positive squares in 8 ways, for example, as 51782416 + 44515584 = 7196^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (96298003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177730 + ... + 178270.

It is an arithmetic number, because the mean of its divisors is an integer number (2948751).

Almost surely, 2^96298000 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 96298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117950040).

96298000 is an abundant number, since it is smaller than the sum of its proper divisors (139602080).

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

96298000 is a wasteful number, since it uses less digits than its factorization.

96298000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 96298000 is about 9813.1544367752. The cubic root of 96298000 is about 458.3589921356.

The spelling of 96298000 in words is "ninety-six million, two hundred ninety-eight thousand".