95798400 has 192 divisors, whose sum is σ = 334666080. Its totient is φ = 24002560.

The previous prime is 95798389. The next prime is 95798407. The reversal of 95798400 is 489759.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (95798407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162907 + ... + 163493.

Almost surely, 2^95798400 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 95798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

95798400 is an abundant number, since it is smaller than the sum of its proper divisors (238867680).

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

95798400 is a wasteful number, since it uses less digits than its factorization.

95798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 95798400 is about 9787.6657074095. The cubic root of 95798400 is about 457.5649524073.

The spelling of 95798400 in words is "ninety-five million, seven hundred ninety-eight thousand, four hundred".