89316000 has 192 divisors, whose sum is σ = 325503360. Its totient is φ = 23788800.

The previous prime is 89315987. The next prime is 89316001. The reversal of 89316000 is 61398.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (89316001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107587 + ... + 108413.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 2^89316000 is an apocalyptic number.

89316000 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 89316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

89316000 is an abundant number, since it is smaller than the sum of its proper divisors (236187360).

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

89316000 is a wasteful number, since it uses less digits than its factorization.

89316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 89316000 is about 9450.7142587214. The cubic root of 89316000 is about 447.0022971820.

Adding to 89316000 its reverse (61398), we get a palindrome (89377398).

The spelling of 89316000 in words is "eighty-nine million, three hundred sixteen thousand".