9096242400 has 1296 divisors, whose sum is σ = 41678582400. Its totient is φ = 1852139520.

The previous prime is 9096242369. The next prime is 9096242401. The reversal of 9096242400 is 42426909.

9096242400 is a `hidden beast` number, since 9 + 0 + 9 + 6 + 242 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9096242401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 154173571 + ... + 154173629.

It is an arithmetic number, because the mean of its divisors is an integer number (32159400).

Almost surely, 2^9096242400 is an apocalyptic number.

9096242400 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 9096242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839291200).

9096242400 is an abundant number, since it is smaller than the sum of its proper divisors (32582340000).

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

9096242400 is a wasteful number, since it uses less digits than its factorization.

9096242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9096242400 is about 95374.2229326142. Note that the first 3 decimals coincide. The cubic root of 9096242400 is about 2087.4720777457.

The spelling of 9096242400 in words is "nine billion, ninety-six million, two hundred forty-two thousand, four hundred".