89642080 has 144 divisors (see below), whose sum is σ = 243229392. Its totient is φ = 30950400.

The previous prime is 89642053. The next prime is 89642081. The reversal of 89642080 is 8024698.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89642081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1691334 + ... + 1691386.

It is an arithmetic number, because the mean of its divisors is an integer number (1689093).

Almost surely, 2^89642080 is an apocalyptic number.

89642080 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 89642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121614696).

89642080 is an abundant number, since it is smaller than the sum of its proper divisors (153587312).

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

89642080 is a wasteful number, since it uses less digits than its factorization.

89642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 89642080 is about 9467.9501477353. The cubic root of 89642080 is about 447.5456171052.

The spelling of 89642080 in words is "eighty-nine million, six hundred forty-two thousand, eighty".