96301920 has 384 divisors, whose sum is σ = 377975808. Its totient is φ = 20275200.

The previous prime is 96301879. The next prime is 96301927. The reversal of 96301920 is 2910369.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96301927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1578690 + ... + 1578750.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^96301920 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 96301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

96301920 is an abundant number, since it is smaller than the sum of its proper divisors (281673888).

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

96301920 is a wasteful number, since it uses less digits than its factorization.

96301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 96301920 is about 9813.3541666446. The cubic root of 96301920 is about 458.3652115201.

The spelling of 96301920 in words is "ninety-six million, three hundred one thousand, nine hundred twenty".