89671680 has 288 divisors, whose sum is σ = 357739200. Its totient is φ = 20348928.

The previous prime is 89671657. The next prime is 89671693. The reversal of 89671680 is 8617698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645051 + ... + 645189.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 2^89671680 is an apocalyptic number.

89671680 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 89671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

89671680 is an abundant number, since it is smaller than the sum of its proper divisors (268067520).

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

89671680 is a wasteful number, since it uses less digits than its factorization.

89671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 89671680 is about 9469.5131870651. The cubic root of 89671680 is about 447.5948718467.

The spelling of 89671680 in words is "eighty-nine million, six hundred seventy-one thousand, six hundred eighty".