96024768 has 112 divisors (see below), whose sum is σ = 298362624. Its totient is φ = 26680320.

The previous prime is 96024757. The next prime is 96024779. The reversal of 96024768 is 86742069.

It is an interprime number because it is at equal distance from previous prime (96024757) and next prime (96024779).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48763 + ... + 50693.

It is an arithmetic number, because the mean of its divisors is an integer number (2663952).

Almost surely, 2^96024768 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 96024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149181312).

96024768 is an abundant number, since it is smaller than the sum of its proper divisors (202337856).

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

96024768 is a wasteful number, since it uses less digits than its factorization.

96024768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 96024768 is about 9799.2228263266. Note that the first 3 decimals coincide. The cubic root of 96024768 is about 457.9250718052.

The spelling of 96024768 in words is "ninety-six million, twenty-four thousand, seven hundred sixty-eight".