93019920 has 160 divisors (see below), whose sum is σ = 349049088. Its totient is φ = 20004864.

The previous prime is 93019873. The next prime is 93019921. The reversal of 93019920 is 2991039.

It is not an unprimeable number, because it can be changed into a prime (93019921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26932 + ... + 30188.

Almost surely, 2^93019920 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 93019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174524544).

93019920 is an abundant number, since it is smaller than the sum of its proper divisors (256029168).

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

93019920 is a wasteful number, since it uses less digits than its factorization.

93019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 93019920 is about 9644.6835095818. The cubic root of 93019920 is about 453.0978352007.

It can be divided in two parts, 93019 and 920, that added together give a palindrome (93939).

The spelling of 93019920 in words is "ninety-three million, nineteen thousand, nine hundred twenty".