84768768 has 240 divisors, whose sum is σ = 293333040. Its totient is φ = 23887872.

The previous prime is 84768751. The next prime is 84768773. The reversal of 84768768 is 86786748.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161180 + ... + 1161252.

It is an arithmetic number, because the mean of its divisors is an integer number (1222221).

Almost surely, 2^84768768 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 84768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146666520).

84768768 is an abundant number, since it is smaller than the sum of its proper divisors (208564272).

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

84768768 is an equidigital number, since it uses as much as digits as its factorization.

84768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 84768768 is about 9206.9956011720. The cubic root of 84768768 is about 439.2839040632.

The spelling of 84768768 in words is "eighty-four million, seven hundred sixty-eight thousand, seven hundred sixty-eight".