89210016 has 288 divisors, whose sum is σ = 325503360. Its totient is φ = 22560768.

The previous prime is 89209969. The next prime is 89210021. The reversal of 89210016 is 61001298.

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

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 47 ways as a sum of consecutive naturals, for example, 651100 + ... + 651236.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 2^89210016 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 89210016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

89210016 is an abundant number, since it is smaller than the sum of its proper divisors (236293344).

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

89210016 is a wasteful number, since it uses less digits than its factorization.

89210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 89210016 is about 9445.1053990943. The cubic root of 89210016 is about 446.8254201665.

The spelling of 89210016 in words is "eighty-nine million, two hundred ten thousand, sixteen".