89284080 has 80 divisors (see below), whose sum is σ = 279401760. Its totient is φ = 23583744.

The previous prime is 89284073. The next prime is 89284087. The reversal of 89284080 is 8048298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89284073) and next prime (89284087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89284087) 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, 24454 + ... + 27866.

It is an arithmetic number, because the mean of its divisors is an integer number (3492522).

Almost surely, 2^89284080 is an apocalyptic number.

89284080 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 89284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139700880).

89284080 is an abundant number, since it is smaller than the sum of its proper divisors (190117680).

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

89284080 is a wasteful number, since it uses less digits than its factorization.

89284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 89284080 is about 9449.0253465635. The cubic root of 89284080 is about 446.9490405299.

The spelling of 89284080 in words is "eighty-nine million, two hundred eighty-four thousand, eighty".