96461442 has 240 divisors, whose sum is σ = 293536320. Its totient is φ = 23094720.

The previous prime is 96461419. The next prime is 96461447. The reversal of 96461442 is 24416469.

96461442 is a `hidden beast` number, since 9 + 646 + 1 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96461397 and 96461406.

It is not an unprimeable number, because it can be changed into a prime (96461447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2607048 + ... + 2607084.

It is an arithmetic number, because the mean of its divisors is an integer number (1223068).

Almost surely, 2^96461442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96461442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146768160).

96461442 is an abundant number, since it is smaller than the sum of its proper divisors (197074878).

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

96461442 is a wasteful number, since it uses less digits than its factorization.

96461442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 96461442 is about 9821.4786055868. The cubic root of 96461442 is about 458.6181625131.

The spelling of 96461442 in words is "ninety-six million, four hundred sixty-one thousand, four hundred forty-two".