89946000 has 240 divisors, whose sum is σ = 331943040. Its totient is φ = 22636800.

The previous prime is 89945971. The next prime is 89946007. The reversal of 89946000 is 64998.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (89946007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341869 + ... + 342131.

It is an arithmetic number, because the mean of its divisors is an integer number (1383096).

Almost surely, 2^89946000 is an apocalyptic number.

89946000 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 89946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

89946000 is an abundant number, since it is smaller than the sum of its proper divisors (241997040).

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

89946000 is a wasteful number, since it uses less digits than its factorization.

89946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89946000 is about 9483.9865035754. The cubic root of 89946000 is about 448.0508286292.

The spelling of 89946000 in words is "eighty-nine million, nine hundred forty-six thousand".