96098800 has 90 divisors (see below), whose sum is σ = 268626408. Its totient is φ = 32941440.

The previous prime is 96098797. The next prime is 96098801. The reversal of 96098800 is 889069.

It is a happy number.

It is a super-2 number, since 2×96098800² = 18469958722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96098801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17149 + ... + 22051.

It is a vampire number, since it can be written as 9800 ⋅ 9806 (with its own digits).

Almost surely, 2^96098800 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 96098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134313204).

96098800 is an abundant number, since it is smaller than the sum of its proper divisors (172527608).

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

96098800 is a wasteful number, since it uses less digits than its factorization.

96098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 96098800 is about 9802.9995409568. Note that the first 3 decimals coincide. The cubic root of 96098800 is about 458.0427233970.

The spelling of 96098800 in words is "ninety-six million, ninety-eight thousand, eight hundred".