93984000 has 288 divisors, whose sum is σ = 344373120. Its totient is φ = 22528000.

The previous prime is 93983993. The next prime is 93984001. The reversal of 93984000 is 48939.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93984001) 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, 1055956 + ... + 1056044.

It is an arithmetic number, because the mean of its divisors is an integer number (1195740).

Almost surely, 2^93984000 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 93984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186560).

93984000 is an abundant number, since it is smaller than the sum of its proper divisors (250389120).

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

93984000 is a wasteful number, since it uses less digits than its factorization.

93984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 93984000 is about 9694.5345427204. The cubic root of 93984000 is about 454.6577952631.

The spelling of 93984000 in words is "ninety-three million, nine hundred eighty-four thousand".