89309280 has 96 divisors (see below), whose sum is σ = 287933184. Its totient is φ = 23256576.

The previous prime is 89309273. The next prime is 89309287. The reversal of 89309280 is 8290398.

It is an interprime number because it is at equal distance from previous prime (89309273) and next prime (89309287).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×89309280² = 15952294988236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89309287) 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, 18477 + ... + 22803.

It is an arithmetic number, because the mean of its divisors is an integer number (2999304).

Almost surely, 2^89309280 is an apocalyptic number.

89309280 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 89309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143966592).

89309280 is an abundant number, since it is smaller than the sum of its proper divisors (198623904).

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

89309280 is a wasteful number, since it uses less digits than its factorization.

89309280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 89309280 is about 9450.3587233501. The cubic root of 89309280 is about 446.9910863098.

The spelling of 89309280 in words is "eighty-nine million, three hundred nine thousand, two hundred eighty".