93213120 has 448 divisors, whose sum is σ = 401458176. Its totient is φ = 17694720.

The previous prime is 93213119. The next prime is 93213137. The reversal of 93213120 is 2131239.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960912 + ... + 961008.

It is an arithmetic number, because the mean of its divisors is an integer number (896112).

Almost surely, 2^93213120 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 93213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200729088).

93213120 is an abundant number, since it is smaller than the sum of its proper divisors (308245056).

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

93213120 is a wasteful number, since it uses less digits than its factorization.

93213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 93213120 is about 9654.6941950535. The cubic root of 93213120 is about 453.4113091552.

Adding to 93213120 its reverse (2131239), we get a palindrome (95344359).

The spelling of 93213120 in words is "ninety-three million, two hundred thirteen thousand, one hundred twenty".