88891280 has 60 divisors (see below), whose sum is σ = 212156436. Its totient is φ = 34636800.

The previous prime is 88891273. The next prime is 88891289. The reversal of 88891280 is 8219888.

It can be written as a sum of positive squares in 6 ways, for example, as 18800896 + 70090384 = 4336^2 + 8372^2 .

It is not an unprimeable number, because it can be changed into a prime (88891289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134150 + ... + 134810.

Almost surely, 2^88891280 is an apocalyptic number.

88891280 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 88891280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106078218).

88891280 is an abundant number, since it is smaller than the sum of its proper divisors (123265156).

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

88891280 is a wasteful number, since it uses less digits than its factorization.

88891280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The square root of 88891280 is about 9428.2172227840. The cubic root of 88891280 is about 446.2926350736.

The spelling of 88891280 in words is "eighty-eight million, eight hundred ninety-one thousand, two hundred eighty".