88368768 has 96 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 29053440.

The previous prime is 88368767. The next prime is 88368773. The reversal of 88368768 is 86786388.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (88368767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90523 + ... + 91493.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^88368768 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 88368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

88368768 is an abundant number, since it is smaller than the sum of its proper divisors (169405632).

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

88368768 is a wasteful number, since it uses less digits than its factorization.

88368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 88368768 is about 9400.4663714095. The cubic root of 88368768 is about 445.4164648931.

The spelling of 88368768 in words is "eighty-eight million, three hundred sixty-eight thousand, seven hundred sixty-eight".