96351444 has 216 divisors, whose sum is σ = 312894400. Its totient is φ = 25909632.

The previous prime is 96351443. The next prime is 96351469. The reversal of 96351444 is 44415369.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

96351444 is a `hidden beast` number, since 9 + 635 + 14 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96351399 and 96351408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96351443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5667724 + ... + 5667740.

Almost surely, 2^96351444 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 96351444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156447200).

96351444 is an abundant number, since it is smaller than the sum of its proper divisors (216542956).

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

96351444 is a wasteful number, since it uses less digits than its factorization.

96351444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 96351444 is about 9815.8771385954. The cubic root of 96351444 is about 458.4437706621.

The spelling of 96351444 in words is "ninety-six million, three hundred fifty-one thousand, four hundred forty-four".