96864768 has 480 divisors, whose sum is σ = 391849920. Its totient is φ = 23224320.

The previous prime is 96864763. The next prime is 96864769. The reversal of 96864768 is 86746869.

96864768 is a `hidden beast` number, since 96 + 86 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (96864763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7451130 + ... + 7451142.

It is an arithmetic number, because the mean of its divisors is an integer number (816354).

Almost surely, 2^96864768 is an apocalyptic number.

96864768 is a gapful number since it is divisible by the number (98) 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 96864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

96864768 is an abundant number, since it is smaller than the sum of its proper divisors (294985152).

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

96864768 is a wasteful number, since it uses less digits than its factorization.

96864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 96864768 is about 9841.9900426692. The cubic root of 96864768 is about 459.2564673768.

The spelling of 96864768 in words is "ninety-six million, eight hundred sixty-four thousand, seven hundred sixty-eight".