96441408 has 336 divisors, whose sum is σ = 354421440. Its totient is φ = 25546752.

The previous prime is 96441407. The next prime is 96441413. The reversal of 96441408 is 80414469.

It is a happy number.

96441408 is a `hidden beast` number, since 9 + 644 + 1 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (96441407) 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 47 ways as a sum of consecutive naturals, for example, 1439391 + ... + 1439457.

Almost surely, 2^96441408 is an apocalyptic number.

96441408 is a gapful number since it is divisible by the number (98) 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 96441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177210720).

96441408 is an abundant number, since it is smaller than the sum of its proper divisors (257980032).

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

96441408 is a wasteful number, since it uses less digits than its factorization.

96441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 96441408 is about 9820.4586450939. The cubic root of 96441408 is about 458.5864103012.

The spelling of 96441408 in words is "ninety-six million, four hundred forty-one thousand, four hundred eight".