94124800 has 216 divisors, whose sum is σ = 291981312. Its totient is φ = 29184000.

The previous prime is 94124759. The next prime is 94124837. The reversal of 94124800 is 842149.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 492705 + ... + 492895.

Almost surely, 2^94124800 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 94124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656).

94124800 is an abundant number, since it is smaller than the sum of its proper divisors (197856512).

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

94124800 is a wasteful number, since it uses less digits than its factorization.

94124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 94124800 is about 9701.7936485992. The cubic root of 94124800 is about 454.8847270678.

Adding to 94124800 its reverse (842149), we get a palindrome (94966949).

The spelling of 94124800 in words is "ninety-four million, one hundred twenty-four thousand, eight hundred".