89006680 has 64 divisors (see below), whose sum is σ = 230768640. Its totient is φ = 30264192.

The previous prime is 89006677. The next prime is 89006683. The reversal of 89006680 is 8660098.

It is an interprime number because it is at equal distance from previous prime (89006677) and next prime (89006683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89006683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34309 + ... + 36811.

It is an arithmetic number, because the mean of its divisors is an integer number (3605760).

Almost surely, 2^89006680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115384320).

89006680 is an abundant number, since it is smaller than the sum of its proper divisors (141761960).

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

89006680 is a wasteful number, since it uses less digits than its factorization.

89006680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 89006680 is about 9434.3351647056. The cubic root of 89006680 is about 446.4856795027.

The spelling of 89006680 in words is "eighty-nine million, six thousand, six hundred eighty".