89211280 has 80 divisors (see below), whose sum is σ = 214080048. Its totient is φ = 34560000.

The previous prime is 89211247. The next prime is 89211281. The reversal of 89211280 is 8211298.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14837904 + 74373376 = 3852^2 + 8624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (89211281) 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, 492790 + ... + 492970.

Almost surely, 2^89211280 is an apocalyptic number.

89211280 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 89211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040024).

89211280 is an abundant number, since it is smaller than the sum of its proper divisors (124868768).

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

89211280 is a wasteful number, since it uses less digits than its factorization.

89211280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 89211280 is about 9445.1723118215. The cubic root of 89211280 is about 446.8275304851.

It can be divided in two parts, 8921 and 1280, that added together give a palindrome (10201).

The spelling of 89211280 in words is "eighty-nine million, two hundred eleven thousand, two hundred eighty".