93319680 has 160 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 23969792.

The previous prime is 93319679. The next prime is 93319693. The reversal of 93319680 is 8691339.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222511 + ... + 222929.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^93319680 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 93319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

93319680 is an abundant number, since it is smaller than the sum of its proper divisors (216035520).

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

93319680 is a wasteful number, since it uses less digits than its factorization.

93319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 93319680 is about 9660.2111778159. The cubic root of 93319680 is about 453.5840212855.

The spelling of 93319680 in words is "ninety-three million, three hundred nineteen thousand, six hundred eighty".