96242400 has 108 divisors (see below), whose sum is σ = 339400152. Its totient is φ = 25662720.

The previous prime is 96242317. The next prime is 96242407. The reversal of 96242400 is 424269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96242407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 517 + ... + 13883.

It is an arithmetic number, because the mean of its divisors is an integer number (3142594).

Almost surely, 2^96242400 is an apocalyptic number.

96242400 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 96242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169700076).

96242400 is an abundant number, since it is smaller than the sum of its proper divisors (243157752).

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

96242400 is a wasteful number, since it uses less digits than its factorization.

96242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13393 (or 13377 counting only the distinct ones).

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

The square root of 96242400 is about 9810.3210956625. The cubic root of 96242400 is about 458.2707602364.

Adding to 96242400 its reverse (424269), we get a palindrome (96666669).

The spelling of 96242400 in words is "ninety-six million, two hundred forty-two thousand, four hundred".