89285680 has 80 divisors (see below), whose sum is σ = 227940768. Its totient is φ = 32256000.

The previous prime is 89285663. The next prime is 89285689. The reversal of 89285680 is 8658298.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89285680.

It is not an unprimeable number, because it can be changed into a prime (89285689) 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, 211870 + ... + 212290.

Almost surely, 2^89285680 is an apocalyptic number.

89285680 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 89285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113970384).

89285680 is an abundant number, since it is smaller than the sum of its proper divisors (138655088).

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

89285680 is a wasteful number, since it uses less digits than its factorization.

89285680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 89285680 is about 9449.1100110010. The cubic root of 89285680 is about 446.9517103385.

The spelling of 89285680 in words is "eighty-nine million, two hundred eighty-five thousand, six hundred eighty".