93493680 has 320 divisors, whose sum is σ = 364262400. Its totient is φ = 19353600.

The previous prime is 93493667. The next prime is 93493733. The reversal of 93493680 is 8639439.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925630 + ... + 925730.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 2^93493680 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 93493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

93493680 is an abundant number, since it is smaller than the sum of its proper divisors (270768720).

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

93493680 is a wasteful number, since it uses less digits than its factorization.

93493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 93493680 is about 9669.2129979642. The cubic root of 93493680 is about 453.8657575633.

The spelling of 93493680 in words is "ninety-three million, four hundred ninety-three thousand, six hundred eighty".