94536000 has 336 divisors, whose sum is σ = 367789968. Its totient is φ = 23040000.

The previous prime is 94535989. The next prime is 94536007. The reversal of 94536000 is 63549.

It is a happy number.

94536000 is a `hidden beast` number, since 9 + 4 + 53 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22353984 + 72182016 = 4728^2 + 8496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94536007) 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, 935950 + ... + 936050.

It is an arithmetic number, because the mean of its divisors is an integer number (1094613).

Almost surely, 2^94536000 is an apocalyptic number.

94536000 is a gapful number since it is divisible by the number (90) 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 94536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183894984).

94536000 is an abundant number, since it is smaller than the sum of its proper divisors (273253968).

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

94536000 is a wasteful number, since it uses less digits than its factorization.

94536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 94536000 is about 9722.9625114982. The cubic root of 94536000 is about 455.5461782281.

Adding to 94536000 its reverse (63549), we get a palindrome (94599549).

The spelling of 94536000 in words is "ninety-four million, five hundred thirty-six thousand".