89587680 has 288 divisors, whose sum is σ = 354733344. Its totient is φ = 18837504.

The previous prime is 89587669. The next prime is 89587697. The reversal of 89587680 is 8678598.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305614 + ... + 305906.

It is an arithmetic number, because the mean of its divisors is an integer number (1231713).

Almost surely, 2^89587680 is an apocalyptic number.

89587680 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 89587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177366672).

89587680 is an abundant number, since it is smaller than the sum of its proper divisors (265145664).

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

89587680 is a wasteful number, since it uses less digits than its factorization.

89587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 89587680 is about 9465.0768618115. The cubic root of 89587680 is about 447.4550665952.

The spelling of 89587680 in words is "eighty-nine million, five hundred eighty-seven thousand, six hundred eighty".