88881280 has 64 divisors (see below), whose sum is σ = 214536600. Its totient is φ = 35209216.

The previous prime is 88881271. The next prime is 88881281. The reversal of 88881280 is 8218888.

It can be written as a sum of positive squares in 4 ways, for example, as 71774784 + 17106496 = 8472^2 + 4136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (88881281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71706 + ... + 72934.

Almost surely, 2^88881280 is an apocalyptic number.

88881280 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 88881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107268300).

88881280 is an abundant number, since it is smaller than the sum of its proper divisors (125655320).

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

88881280 is a wasteful number, since it uses less digits than its factorization.

88881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 43.

The square root of 88881280 is about 9427.6868849151. The cubic root of 88881280 is about 446.2758989224.

The spelling of 88881280 in words is "eighty-eight million, eight hundred eighty-one thousand, two hundred eighty".