96426000 has 240 divisors, whose sum is σ = 368155008. Its totient is φ = 23328000.

The previous prime is 96425983. The next prime is 96426041. The reversal of 96426000 is 62469.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197757 + ... + 198243.

Almost surely, 2^96426000 is an apocalyptic number.

96426000 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 96426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184077504).

96426000 is an abundant number, since it is smaller than the sum of its proper divisors (271729008).

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

96426000 is a wasteful number, since it uses less digits than its factorization.

96426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96426000 is about 9819.6741290126. The cubic root of 96426000 is about 458.5619869203.

Adding to 96426000 its reverse (62469), we get a palindrome (96488469).

The spelling of 96426000 in words is "ninety-six million, four hundred twenty-six thousand".