88752768 has 128 divisors (see below), whose sum is σ = 265265280. Its totient is φ = 26087424.

The previous prime is 88752761. The next prime is 88752809. The reversal of 88752768 is 86725788.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88752768.

It is not an unprimeable number, because it can be changed into a prime (88752761) 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, 114430 + ... + 115202.

It is an arithmetic number, because the mean of its divisors is an integer number (2072385).

Almost surely, 2^88752768 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 88752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632640).

88752768 is an abundant number, since it is smaller than the sum of its proper divisors (176512512).

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

88752768 is a wasteful number, since it uses less digits than its factorization.

88752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 88752768 is about 9420.8687497491. The cubic root of 88752768 is about 446.0607074824.

It can be divided in two parts, 88752 and 768, that multiplied together give a square (68161536 = 8256²).

The spelling of 88752768 in words is "eighty-eight million, seven hundred fifty-two thousand, seven hundred sixty-eight".