96345984 has 128 divisors (see below), whose sum is σ = 297089280. Its totient is φ = 27095040.

The previous prime is 96345983. The next prime is 96346001. The reversal of 96345984 is 48954369.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (933120) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96345983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195979 + ... + 196469.

It is an arithmetic number, because the mean of its divisors is an integer number (2321010).

Almost surely, 2^96345984 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 96345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148544640).

96345984 is an abundant number, since it is smaller than the sum of its proper divisors (200743296).

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

96345984 is a wasteful number, since it uses less digits than its factorization.

96345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 96345984 is about 9815.5990138147. The cubic root of 96345984 is about 458.4351108705.

The spelling of 96345984 in words is "ninety-six million, three hundred forty-five thousand, nine hundred eighty-four".