89026560 has 416 divisors, whose sum is σ = 377441280. Its totient is φ = 19464192.

The previous prime is 89026543. The next prime is 89026577. The reversal of 89026560 is 6562098.

89026560 is a `hidden beast` number, since 8 + 90 + 2 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (89026543) and next prime (89026577).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870709 + ... + 3870731.

Almost surely, 2^89026560 is an apocalyptic number.

89026560 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 89026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188720640).

89026560 is an abundant number, since it is smaller than the sum of its proper divisors (288414720).

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

89026560 is a wasteful number, since it uses less digits than its factorization.

89026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 89026560 is about 9435.3887042347. The cubic root of 89026560 is about 446.5189184856.

The spelling of 89026560 in words is "eighty-nine million, twenty-six thousand, five hundred sixty".