96808000 has 56 divisors (see below), whose sum is σ = 239764824. Its totient is φ = 38720000.

The previous prime is 96807973. The next prime is 96808027. The reversal of 96808000 is 80869.

It is an interprime number because it is at equal distance from previous prime (96807973) and next prime (96808027).

It can be written as a sum of positive squares in 4 ways, for example, as 2795584 + 94012416 = 1672^2 + 9696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 14050.

Almost surely, 2^96808000 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 96808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119882412).

96808000 is an abundant number, since it is smaller than the sum of its proper divisors (142956824).

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

96808000 is a wasteful number, since it uses less digits than its factorization.

96808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 96808000 is about 9839.1056504136. The cubic root of 96808000 is about 459.1667334575.

Adding to 96808000 its reverse (80869), we get a palindrome (96888869).

It can be divided in two parts, 9680 and 8000, that multiplied together give a square (77440000 = 8800²).

The spelling of 96808000 in words is "ninety-six million, eight hundred eight thousand".