88108960 has 96 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 31997952.

The previous prime is 88108957. The next prime is 88108961. The reversal of 88108960 is 6980188.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27081616 + 61027344 = 5204^2 + 7812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (88108961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78322 + ... + 79438.

Almost surely, 2^88108960 is an apocalyptic number.

88108960 is a gapful number since it is divisible by the number (80) 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 88108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114103080).

88108960 is an abundant number, since it is smaller than the sum of its proper divisors (140097200).

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

88108960 is a wasteful number, since it uses less digits than its factorization.

88108960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 88108960 is about 9386.6373105602. The cubic root of 88108960 is about 444.9795218452.

The spelling of 88108960 in words is "eighty-eight million, one hundred eight thousand, nine hundred sixty".