96001920 has 192 divisors, whose sum is σ = 379023840. Its totient is φ = 21934080.

The previous prime is 96001891. The next prime is 96001933. The reversal of 96001920 is 2910069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39130 + ... + 41510.

Almost surely, 2^96001920 is an apocalyptic number.

96001920 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 96001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189511920).

96001920 is an abundant number, since it is smaller than the sum of its proper divisors (283021920).

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

96001920 is a wasteful number, since it uses less digits than its factorization.

96001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 96001920 is about 9798.0569502325. The cubic root of 96001920 is about 457.8887495723. Note that the first 3 decimals are identical.

Adding to 96001920 its reverse (2910069), we get a palindrome (98911989).

The spelling of 96001920 in words is "ninety-six million, one thousand, nine hundred twenty".