89966064 has 80 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 27168768.

The previous prime is 89966029. The next prime is 89966081. The reversal of 89966064 is 46066998.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18832 + ... + 23120.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^89966064 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 89966064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

89966064 is an abundant number, since it is smaller than the sum of its proper divisors (165374736).

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

89966064 is a wasteful number, since it uses less digits than its factorization.

89966064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 89966064 is about 9485.0442276249. The cubic root of 89966064 is about 448.0841412963.

The spelling of 89966064 in words is "eighty-nine million, nine hundred sixty-six thousand, sixty-four".