89895680 has 144 divisors (see below), whose sum is σ = 251166720. Its totient is φ = 30191616.

The previous prime is 89895667. The next prime is 89895683. The reversal of 89895680 is 8659898.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89895683) 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, 707777 + ... + 707903.

Almost surely, 2^89895680 is an apocalyptic number.

89895680 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 89895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125583360).

89895680 is an abundant number, since it is smaller than the sum of its proper divisors (161271040).

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

89895680 is a wasteful number, since it uses less digits than its factorization.

89895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 53.

The square root of 89895680 is about 9481.3332395819. Note that the first 3 decimals coincide. The cubic root of 89895680 is about 447.9672595121.

The spelling of 89895680 in words is "eighty-nine million, eight hundred ninety-five thousand, six hundred eighty".