93684320 has 48 divisors (see below), whose sum is σ = 222218640. Its totient is φ = 37323264.

The previous prime is 93684319. The next prime is 93684329. The reversal of 93684320 is 2348639.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93684329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44246 + ... + 46314.

It is an arithmetic number, because the mean of its divisors is an integer number (4629555).

Almost surely, 2^93684320 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 93684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111109320).

93684320 is an abundant number, since it is smaller than the sum of its proper divisors (128534320).

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

93684320 is a wasteful number, since it uses less digits than its factorization.

93684320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 93684320 is about 9679.0660706496. The cubic root of 93684320 is about 454.1740358856.

The spelling of 93684320 in words is "ninety-three million, six hundred eighty-four thousand, three hundred twenty".