96422400 has 360 divisors, whose sum is σ = 369393024. Its totient is φ = 24883200.

The previous prime is 96422353. The next prime is 96422401. The reversal of 96422400 is 422469.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (96422401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110385 + ... + 3110415.

Almost surely, 2^96422400 is an apocalyptic number.

96422400 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 96422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184696512).

96422400 is an abundant number, since it is smaller than the sum of its proper divisors (272970624).

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

96422400 is an equidigital number, since it uses as much as digits as its factorization.

96422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 96422400 is about 9819.4908218298. The cubic root of 96422400 is about 458.5562801479.

Adding to 96422400 its reverse (422469), we get a palindrome (96844869).

The spelling of 96422400 in words is "ninety-six million, four hundred twenty-two thousand, four hundred".