93894400 has 108 divisors (see below), whose sum is σ = 246359232. Its totient is φ = 35307520.

The previous prime is 93894397. The next prime is 93894401. The reversal of 93894400 is 449839.

It is a self number, because there is not a number n which added to its sum of digits gives 93894400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93894401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 108369 + ... + 109231.

It is an arithmetic number, because the mean of its divisors is an integer number (2281104).

Almost surely, 2^93894400 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 93894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123179616).

93894400 is an abundant number, since it is smaller than the sum of its proper divisors (152464832).

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

93894400 is a wasteful number, since it uses less digits than its factorization.

93894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 93894400 is about 9689.9122803047. The cubic root of 93894400 is about 454.5132660843.

The spelling of 93894400 in words is "ninety-three million, eight hundred ninety-four thousand, four hundred".