89066880 has 288 divisors, whose sum is σ = 359133840. Its totient is φ = 19924992.

The previous prime is 89066849. The next prime is 89066903. The reversal of 89066880 is 8866098.

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

It is a super-2 number, since 2×89066880² = 15865818225868800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1895017 + ... + 1895063.

Almost surely, 2^89066880 is an apocalyptic number.

89066880 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 89066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179566920).

89066880 is an abundant number, since it is smaller than the sum of its proper divisors (270066960).

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

89066880 is a wasteful number, since it uses less digits than its factorization.

89066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 89066880 is about 9437.5250993044. The cubic root of 89066880 is about 446.5863175687.

The spelling of 89066880 in words is "eighty-nine million, sixty-six thousand, eight hundred eighty".