96427920 has 80 divisors (see below), whose sum is σ = 307033920. Its totient is φ = 25016832.

The previous prime is 96427909. The next prime is 96427939. The reversal of 96427920 is 2972469.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3451 + ... + 14309.

It is an arithmetic number, because the mean of its divisors is an integer number (3837924).

Almost surely, 2^96427920 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 96427920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153516960).

96427920 is an abundant number, since it is smaller than the sum of its proper divisors (210606000).

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

96427920 is a wasteful number, since it uses less digits than its factorization.

96427920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 96427920 is about 9819.7718914443. The cubic root of 96427920 is about 458.5650304742.

The spelling of 96427920 in words is "ninety-six million, four hundred twenty-seven thousand, nine hundred twenty".