96490800 has 270 divisors, whose sum is σ = 390231348. Its totient is φ = 22014720.

The previous prime is 96490799. The next prime is 96490841. The reversal of 96490800 is 809469.

96490800 is a `hidden beast` number, since 9 + 649 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176127 + ... + 176673.

Almost surely, 2^96490800 is an apocalyptic number.

96490800 is a gapful number since it is divisible by the number (90) 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 96490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195115674).

96490800 is an abundant number, since it is smaller than the sum of its proper divisors (293740548).

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

96490800 is a wasteful number, since it uses less digits than its factorization.

96490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 96490800 is about 9822.9730733623. The cubic root of 96490800 is about 458.6646845431.

The spelling of 96490800 in words is "ninety-six million, four hundred ninety thousand, eight hundred".